Torsion group Z/5Z, rank = 8

Dujella - Lecacheux (2009)


y2 + xy = x3 - 1346404541224901580948752030x 
         + 19318553476047119421649468184366353981476

	Torsion points: 

O, [-1939073747114, -148060933257135625244], [24206518675528, -30178326846762062486], 
[24206518675528, 30178302640243386958], [-1939073747114, 148060935196209372358]

	Independent points of infinite order: 

P1 = [12942920076352, 63720747352258155334] 
P2 = [15622376802430, 45796178770313537884]
P3 = [17888256277234, 30948043911702748390]
P4 = [20046753870640, 19589500696221641206]
P5 = [25985838078466, 43340480124212287576]
P6 = [-3156496010696, -153417808323866764034]
P7 = [2984082857728, 123803646589650757114]
P8 = [3752540626408, 119661844030558924654]

Eroshkin (2009)


y2 + xy = x3 - 244225635073705856645045305358516300x 
         + 47380375332133580095127079115821390516194400266490000

	Torsion points: 

O, [329811726249331000, -52032904039793805545264300], [-37196964010191080, 237514970589466021499754100], 
[-37196964010191080, -237514970552269057489563020], [329811726249331000, 52032903709982079295933300]

	Independent points of infinite order: 

P1 = [215794269656731132, 68751803745826886566570852]
P2 = [171914770006422040, 102348760844784979939372660]
P3 = [168441145048264840, 104984820306486247545709300]
P4 = [221867993820059800, 64156572929980734493827700]
P5 = [179306589562588750, 96715921232165023539184450]
P6 = [234348514776775150, 54924490017815272873228450]
P7 = [-287753405371733000, -306317759077334372898344300]
P8 = [63621460365170200, 179164459984599002204298100]

Dujella - Lecacheux (2009)


y2 + xy + y = x3 + x2 - 257204508165423954816402995x 
             + 1748673531007907498834205901854033996657

	Torsion points: 

O, [12071024330787, -20070285668205695634], [12071024330787, 20070273597181364846], 
[-4050510939053, 52192223042379056926], [-4050510939053, -52192218991868117874]

	Independent points of infinite order: 

P1 = [-2689602117573, -49203604700818714234]
P2 = [1495205841187, 36978947192609990766]
P3 = [3864476855661, 28503076152165380054]
P4 = [6710474255907, 18024565289380447086]
P5 = [5067406549627, 23988279478024579006]
P6 = [4009191443107, 27963074034705378286]
P7 = [-895848773853, -44478881229791043474]
P8 = [11572113738915, 17942670234858378606]

Dujella - Lecacheux (2009)


y2 + y = x3 + x2 - 1805632198953220354072743054330x 
             + 937164323059943920996847199260009653476285734

	Torsion points: 

O, [114135566422431, 27065925164925932985472], [114135566422431, -27065925164925932985473], 
[836722030653426, 3484870128565476333637], [836722030653426, -3484870128565476333638]

	Independent points of infinite order: 

P1 = [494276905555896, 12862295658942711715597]
P2 = [737119316569371, 2589973408237602569227]
P3 = [826315889039376, 3057538411111718341762]
P4 = [-233877846248124, 36696986856509114936362]
P5 = [508285609696236, 12276205155103716481882]
P6 = [-67908599195559, 32549487101362118890957]
P7 = [575624023395156, 9408934695207694614922]
P8 = [-348343747461429, 39036851906891076445252]

Dujella - Lecacheux (2020)


y2 + xy = x3 - 63027648904638221255187267455442654380x 
             + 192587891217980559955297589531239556020861574645790129552

	Torsion points: 

O, [6555222637877479384, 7817398802304536393373014548], 
[4647429134229596344, -222060770270607173442906572], 
[4647429134229596344, 222060765623178039213310228], 
[6555222637877479384, -7817398808859759031250493932]

	Independent points of infinite order: 

P1 = [225396674934401752, 13356388722226219237406170900]
P2 = [4804500014733446104, 821513137141424760393317908]
P3 = [4618783642888567768, 100392595713888688207248916]
P4 = [18158951439578921251/4, 1112627729082079007383015199/8]
P5 = [4722416314496159272, 510606810494946958339952020]
P6 = [5695617273038267784, 4286335193849017035922602468]
P7 = [4660889732611719544, 275027028731394344858707828]
P8 = [705674189870565764703064/221841, 514910722229560615697069493219848588/104487111]

Dujella - Lecacheux (2020)


y2 + xy = x3 - 44387306158736677028715737942358051994683995x 
             + 2114995693353033198806002357956533114321352167757953849259495251025

	Torsion points: 

O, [-7428092804620459011170, -1426482419925558939240587005315535], 
[16659200771035952248990, -2449275297901626508562134366239695], 
[16659200771035952248990, 2449275297884967307791098413990705], 
[-7428092804620459011170, 1426482419932987032045207464326705]

	Independent points of infinite order: 

P1 = [-3641802224763048717410, -1492764304209440022317408555026895]
P2 = [347653438003443109870, 1449001833045752005443499294285825]
P3 = [13769205084928173040030, 2028382422598058131242035311113265]
P4 = [-1839497429703290637410, -1480007306756507854266313919506895]
P5 = [-2079698734166139006050, -1482670872245255964830140985362895]
P6 = [9758116780513567400350, 1615869822478763373885671867053105]
P7 = [-8823891863468573863010, -1348935447662118327334756486777295]
P8 = [-1047739967396510067810, -1469813553495490937407061961132495]

Klagsbrun (2020)


y2 + y = x3 - x2 + 15906368950552398604847990x 
             + 120164001913749952070571406918783027756

	Torsion points: 

O, [7395850776080, -25344582866576340868], 
[7395850776080, 25344582866576340867], 
[-2181404546555, 8665189355122162362], 
[-2181404546555, -8665189355122162363]

	Independent points of infinite order: 

P1 = [798993694265, 11549162771656912902]
P2 = [-420260131525, 10649176656419153352]
P3 = [3038751356407, 14019962980015272780]
P4 = [6224057434270, 21454119371692021787]
P5 = [4815695597570, 17562592743629264012]
P6 = [-2851477254860, 7184859913338259652]
P7 = [1335032261186, 11990786483392486412]
P8 = [698553741652, 11472416216732686715]

Klagsbrun (2020)


y2 + y = x3 + x2 - 43404903968582650644659510x 
             + 110583089765290602424908396450544942556

	Torsion points: 

O, [4138265517055, -1353095979183324338], 
[398856016690, 9660964502601247027], 
[398856016690, -9660964502601247028], 
[4138265517055, 1353095979183324337]

	Independent points of infinite order: 

P1 = [2951970089353, 2859537547106976928]
P2 = [2321311057630, 4726008474709220212]
P3 = [3043048878055, 2584361387394463462]
P4 = [2704356610900, 3602663413910274532]
P5 = [4945869383740, 4110000139693492852]
P6 = [1220815771180, 7707995295248643412]
P7 = [6757908401914, 11219886194838910627]
P8 = [2991001241590, 2741665496971153252]

Dujella - Lecacheux - Petricevic (2021)


y2 + xy = x3 - 26585801149299063128485194924055x 
             + 59129117530968104964891765336439392682133478377

	Torsion points: 

O, [3950192680913174, -125494921261044993253867], 
[3950192680913174, 125494917310852312340693], 
[-1406283013444306, 306161996905592723881253], 
[-1406283013444306, -306161995499309710436947]

	Independent points of infinite order: 

P1 = [2808024629488862, 81343798769469590888285]
P2 = [746810157817034, 199226218236964284070973]
P3 = [-57352132147846, -246279680954672328841687]
P4 = [2352360567963794, 98014029692395964532653]
P5 = [1034557970875894, 180919492582532234439253]
P6 = [608050697885942, 207818224422580788241493]
P7 = [1319099844527468, 162342406873363171316591]
P8 = [-5814632461591786, -130856190140250291639787]

Dujella - Lecacheux - Petricevic (2021)


y2 + xy = x3 - 2035100211022863701787786128710x 
             + 1119278596873289775178978177109549448664136036

	Torsion points: 

O, [871575612063596, -2760817439672934238102], 
[871575612063596, 2760816568097322174506], 
[206899573697828, 26590864315415593865738], 
[206899573697828, -26590864522315167563566]

	Independent points of infinite order: 

P1 = [809950927023548, 1513839045447279408794]
P2 = [-446118717105622, -44027122021549503042712]
P3 = [-623216343019402, -46319865260069317453042]
P4 = [1524732508526966, 39509584717306285999886]
P5 = [222918649359098, 26013347260427440651694]
P6 = [2966841354706604, 145588578806883134944490]
P7 = [12017719313709164, 1308559533193737710183210]
P8 = [716892025238444, 5363468406693209966186]

Dujella - Lecacheux - Petricevic (2021)


y2 + y = x3 + x2 - 572802599624085654667204322992360x 
             + 5277993800788102208540934781543522853711433047164

	Torsion points: 

O, [14209108322962586, -88209731316785650759688], 
[14209108322962586, 88209731316785650759687], 
[6345955647609611, 1377887099900064477336112], 
[6345955647609611, -1377887099900064477336113]

	Independent points of infinite order: 

P1 = [13539127696772711, 67649036229802681341187]
P2 = [5519370865025336, 1511496915505795364744812]
P3 = [-1818541906127914, 2512696806602195467066312]
P4 = [12104774610988001, 343520619135864160480717]
P5 = [13085077793712386, 152461708305693327185287]
P6 = [25259822490750881, 2631795889070645474955277]
P7 = [14601808494860711, 165325664289917783157187]
P8 = [13455153700979036, 82361590308906363191587]

Eroshkin - Voznyy (2023)


y2 + xy = x3 - 92752549805757556582854807830563393883050x 
             + 768987204860893291507054906523018457522726335860125939405322916

	Torsion points: 

O, [-515023322593473513484, 26079637616526338176465438492166], 
[-515023322593473513484, -26079637616011314853871964978682], 
[1211698895084441739668, 49352128439770215982231790388614], 
[1211698895084441739668, -49352128440981914877316232128282]

	Independent points of infinite order: 

P1 = [-264439879824248628640, -27839231437888119030396563676826]
P2 = [710656560516865597166, 32587986003265577879056402353818]
P3 = [424477761334809363902, 28391879026667573586008589907304]
P4 = [172444701944994148852, 27533988766055790456783790624774]
P5 = [-131456864227137446662, -27908931730514188877797443689926]
P6 = [-712396600537191296524, -21760426907391484653067589452282]
P7 = [22163977485548180792756/49, 9819498828505531768552234433909258/343]
P8 = [6613553657785509356348, 537983638243734218343296341382054]

Eroshkin - Voznyy (2023)


y2 + y = x3 + x2 - 488396475371320329656245413781330139364506412600x 
             + 527293373929483940131927779546303415847929184754449571815334614513993906

	Torsion points: 

O, [996110192722019283355650, -1014481432967365785990017050099961963], 
[996110192722019283355650, 1014481432967365785990017050099961962], 
[-488175497453875881457605, 805839232202036420587393994569627357], 
[-488175497453875881457605, -805839232202036420587393994569627358]

	Independent points of infinite order: 

P1 = [388734110150107703665215, 629428512228926982377064538677296902]
P2 = [-419093295609098691028245, 811398702983682838021252121891682157]
P3 = [457849136916040382883573, 632185475587988152418350339445592223]
P4 = [455276532857965684416436725/1444, 34905209780078369668135300789045010800739/54872]
P5 = [341573590411969798430207025/49, 6285995821377701024776338034940967204916/343]
P6 = [-17042333622263267258771601330/24649, 2829147048627918638197395542796954794256601/3869893]
P7 = [19843165389670279504644182358/39601, 5036058703923448228836430358529139911889462/7880599]
P8 = [12207299900999763237221275069432920/96020401, 1348723470615505878993986176451068735374606712513543/940903909399]

Torsion group Z/5Z, rank = 7

Eroshkin (2009)


y2 + xy = x3 - 2197114487075051237175634730x 
         + 118333571404896316649459410056137259532452

	Torsion points: 

O, [59463233460844, -444905264294837261522], [59463233460844, 444905204831603800678], 
[-29585624156876, -396787090739098935482], [-29585624156876, 396787120324723092358]

	Independent points of infinite order: 

P1 = [-378868717196, -345204192961172336762]
P2 = [-18123611174456, -390128486461247649722]
P3 = [25352870402644, 280938463349715427078]
P4 = [-6136039401356, -362745258200756284922]
P5 = [5106719426164, 327485417244493724038]
P6 = [17027927411344, 293016233815608523978]
P7 = [33939272137984, 287852161454273240218]

Eroshkin (2009)


y2 + xy = x3 - 217355654325805035467922425515x 
         + 42013652306493555363669753849175483887204017

	Torsion points: 

O, [-103188168425626, -7958860255592416399087], [342056119662974, -2772580877384580891487], 
[342056119662974, 2772580535328461228513], [-103188168425626, 7958860358780584824713]

	Independent points of infinite order: 

P1 = [188844878934974, 2775213317289131180513]
P2 = [86424485294864, 4886135730598232401433]
P3 = [105071256648074, 4509523645187814424313]
P4 = [-59941952884006, -7404525680681083827367]
P5 = [233638545003734, 1996149592252359197873]
P6 = [102255533637974, 4566950528612304203513]
P7 = [177878745378974, 2996487115973348984513]

Eroshkin (2009)


y2 + xy = x3 - 25985723533607031680666573307358665x 
         + 1777284485143248504295316827635107337913198661235225

	Torsion points: 

O, [-40882024231352070, 52643192418015210755896035], [-40882024231352070, -52643192377133186524543965], 
[121439602850462130, 20310796338887521474159035], [121439602850462130, -20310796460327124324621165]

	Independent points of infinite order: 

P1 = [4298590594051680, 40812521694358653560877285]
P2 = [17699871658437930, 36371494681679962171246035]
P3 = [78787005095985420, 14798952334535535860795985]
P4 = [8802508579777146, 39360220850496902632460067]
P5 = [-19386810987848070, -47684151372081292027807965]
P6 = [87283873682182950, 13195448026304205597402735]
P7 = [-68935033021558470, -56930038126087142850281565]

Dujella - Lecacheux (2009)


y2 + y = x3 + x2 + 21684687816792871940x 
         + 536323633330486820975424434082364

	Torsion points: 

O, [-44542393429, -21142008695255333], [-44542393429, 21142008695255332], 
[109043977586, 42840230433141487], [109043977586, -42840230433141488]

	Independent points of infinite order: 

P1 = [14602668701, 23232609206364442]
P2 = [-26663475064, 22733000003801587]
P3 = [12940574036, 23211446619966412]
P4 = [-67481833414, 15085147779935887]
P5 = [25151681021, 23511277519972357]
P6 = [43444943771, 24885064864904107]
P7 = [1428145783223, 1706872570530131119]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 279021136261247540446385495x 
         + 1793387038596711777513523387558820786025

	Torsion points: 

O, [9961734198790, -1554603022023059195], [9961734198790, 1554593060288860405], 
[16200652404310, 39052575274144704085], [16200652404310, -39052591474797108395]

	Independent points of infinite order: 

P1 = [-5948999789450, -56945102666568630155]
P2 = [4319183174680, 25861542387494115115]
P3 = [-7446369281978, -58806391157676338363]
P4 = [9786751791190, 237729005307986005]
P5 = [-251236942310, -43167946288761192995]
P6 = [9892302676630, 1123837020359445205]
P7 = [5263206579862, 21694214378887910101]

Eroshkin (2009)


y2 + xy = x3 - 4401046837403916631215x 
         + 113247068123398333719870687876921

	Torsion points: 

O, [42403442826, -1694460286433787], [1071123798, 10417975804721613], 
[1071123798, -10417976875845411], [42403442826, 1694417882990961]

	Independent points of infinite order: 

P1 = [19668144020, 5856182535325679]
P2 = [27196268844, 3697334491928205]
P3 = [23690800878, 4720083672205029]
P4 = [-71804280804, -7684274698415187]
P5 = [-5714779326, -11756333405379435]
P6 = [16469438730, 6725429087398149]
P7 = [31099970646, 2540611635246813]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 150896123934128959243712285x 
         + 844403124386456716996509171987377289009

	Torsion points: 

O, [9870859113370, -17795640513230511713], [9870859113370, 17795630642371398343], 
[-3956691250334, 37141742528679301039], [-3956691250334, -37141738571988050705]

	Independent points of infinite order: 

P1 = [6185569421986, 12152873534380947055]
P2 = [7399018466710, 11531808471208398823]
P3 = [6877371129730, 11485726171880266063]
P4 = [5996702988790, 12456642032009666983]
P5 = [3438036957610, 19137777873360242623]
P6 = [-14425657901400, -4382373755072136297]
P7 = [-13501730569340, -20504642078577659777]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 597872211893293896943612690x 
         + 6922653506619993467506840401756825604100

	Torsion points: 

O, [20228774992580, -55732525780462251490], [-8539067008780, 106795568943311265710], 
[-8539067008780, -106795560404244256930], [20228774992580, 55732505551687258910]

	Independent points of infinite order: 

P1 = [136948832900, 82708996863243207710]
P2 = [12658290255380, 37187096661453156110]
P3 = [-8085873615820, -105963703424465145490]
P4 = [1502180413580, 77639752721509657910]
P5 = [12034546795460, 38347087967452878110]
P6 = [4298443999850, 66574422404286487460]
P7 = [13688354493380, 36104952169567028510]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 235156296239005741872850045635x 
         + 43891763533599932513239182886961588521260225

	Torsion points: 

O, [280013549576070, -1154724224541667935], [280013549576070, 1154444210992091865], 
[268503905229870, 330141353210013565065], [268503905229870, -330141621713918794935]

	Independent points of infinite order: 

P1 = [234336284957370, 1286209419221406542565]
P2 = [200466598749870, 2192465003743342405065]
P3 = [-2834127485880, -6675193156218681124185]
P4 = [279920814527370, 1546651453491280065]
P5 = [248556346294800, 893335622087535108015]
P6 = [42471250346120, 5829321684481105923815]
P7 = [279929510903066, 1295779862979508037]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 3315884079090771665081738064855x 
         + 2323793946140310258573734535551993806310705769

	Torsion points: 

O, [1074668151366810, 1210654284981453877257], [1074668151366810, -1210655359649605244067], 
[1629880818005286, 35342540073250423143669], [1629880818005286, -35342541703131241148955]

	Independent points of infinite order: 

P1 = [895567291160850, 8513406983981821272813]
P2 = [489239829401070, 28611775007953371909477]
P3 = [1029838889959110, 1087143528194427522357]
P4 = [1041205220283690, 239510725686093270717]
P5 = [1068653764541286, 828759087493249419045]
P6 = [771016537342590, 15017855263894303405893]
P7 = [1318981694121630, 15647771154938585882373]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 1017843352326919892221795x 
         + 583997132716712282566571150568433025

	Torsion points: 

O, [-442309545850, 973481872856250305], [933608052590, 668943151205532905], 
[933608052590, -668944084813585495], [-442309545850, -973481430546704455]

	Independent points of infinite order: 

P1 = [60009577390, 723279229166022505]
P2 = [509759245670, 444527923405600505]
P3 = [-121890379090, -840387639572936215]
P4 = [207429320080, 617892786310079905]
P5 = [320127896840, 539410987983979505]
P6 = [-384838786210, -958492251841957495]
P7 = [704156584190, 465212037243711305]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 2073251774144136812897272941735x 
         + 1432876183537108072707643893400054387212141897

	Torsion points: 

O, [-515002840869066, 48621123256021381616133], [-515002840869066, -48621122741018540747067], 
[1202612554944174, 26055102491519409375573], [1202612554944174, -26055103694131964319747]

	Independent points of infinite order: 

P1 = [118329949700094, 34484855437424298847413]
P2 = [867058115530134, 16943784073694556490533]
P3 = [909384906347634, 17307115669822286446833]
P4 = [-1407270578953866, -39541483865560829324667]
P5 = [706412551709238, 17911397578027180382661]
P6 = [-355318770906726, -46094272277206204884327]
P7 = [379801868296224, 26462000875001288849373]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 4174902332253438226592458632430x 
         + 13497276399741906319596161056780175385144581252

	Torsion points: 

O, [-1438431165027556, 128554855957315582361378], [-1438431165027556, -128554854518884417333822], 
[2939345086547324, 163159439248843133534018], [2939345086547324, -163159442188188220081342]

	Independent points of infinite order: 

P1 = [436263387243644, 108438699147934027373378]
P2 = [-1308685355618956, -129304215583417012171222]
P3 = [-94773236670196, -117864728164768401462142]
P4 = [129855565474364, 113830276144389006060098]
P5 = [-1144767405136516, -129523586127315792602302]
P6 = [985939082533244, 101683255849646905939778]
P7 = [621525711651068, 105558320254423194976706]

Dujella - Lecacheux (2009)


y2 + xy = x3 - 104247069206207225692790x 
         + 13077998295796069821444447267212100

	Torsion points: 

O, [-884672030, -114761587511772080], [-884672030, 114761588396444110], 
[208048362280, 19868382873528310], [208048362280, -19868590921890590]

	Independent points of infinite order: 

P1 = [116272397230, 50287710041280910]
P2 = [135871495882, 37711009485178696]
P3 = [-209059328720, -160420326788933090]
P4 = [111490681480, 53303507561825110]
P5 = [179713181770, 12148632954661870]
P6 = [174119066110, 14333157496354510]
P7 = [130979046880, 40875709416792910]

Dujella - Lecacheux (2009)


y2 + xy = x3 + 50627101565668207228579525x 
         + 31560876466833383058857093536380500625

	Torsion points: 

O, [425783366050, -7293438707812816475], [425783366050, 7293438282029450425], 
[11454599000110, 45982677929730807265], [11454599000110, -45982689384329807375]

	Independent points of infinite order: 

P1 = [-605169073250, -837429992429581775]
P2 = [-364576031330, -3613168901523318095]
P3 = [-235888035350, -4427801072954045975]
P4 = [1546697018650, 10656724003864614025]
P5 = [-574263218390, -1515986080954691735]
P6 = [3969736276270, 17178339680519480305]
P7 = [-367692673010, -3591093088057271375]

Torsion group Z/5Z, rank = 6

Dujella - Lecacheux (2001)


y2 + y = x3 + x2 - 1712371016075117860x + 885787957535691389512940164

	Torsion points: 

O, [888689186, 8116714362487], [-139719349, -33500922231893],
[-139719349, 33500922231892], [888689186, -8116714362488]

	Independent points of infinite order: 

P1 = [624069446, 7758948474007]
P2 = [763273511, 4842863582287]
P3 = [680848091, 5960986525147]
P4 = [294497588, 20175238652299]
P5 = [-206499124, 35079702960532]
P6 = [676477901, 6080971505482]

Eroshkin (2009)


y2 + xy = x3 - 18179020279645248226680989180x 
         + 943130631992337822189098312617324575056400

	Torsion points: 

O, [80426476207360, -35891019822063144380], [80426476207360, 35890939395586937020], 
[130967719720120, 899274821884379441860], [130967719720120, -899274952852099161980]

	Independent points of infinite order: 

P1 = [-18761661361160, -1130307537589895283260]
P2 = [78963564397000, 2742997696968750580]
P3 = [79138318576600, 10334820762960314980]
P4 = [25180979020480, 708047939044305400900]
P5 = [45575351353360, 457471871820804920620]
P6 = [81784220164072, 58312634986292135236]

Eroshkin (2009)


y2 + xy = x3 - 86360896643095981339889711579335x 
         + 309665302194639946752926689756764603565256969225

	Torsion points: 

O, [5731791556264070, -54513140432723098112635], [1056726531333770, -468599474785909158178135], 
[1056726531333770, 468599473729182626844365], [5731791556264070, 54513134700931541848565]

	Independent points of infinite order: 

P1 = [4158217830147062, 149855571799355801199557]
P2 = [4549821734431270, 104517562985058018809365]
P3 = [4980535896409370, 55566390628513872120365]
P4 = [4383994008062966, 123763475455989744380357]
P5 = [7574149731348770, 300111348963862047534365]
P6 = [4196269588368770, 145473225310741094934365]

Eroshkin (2009)


y2 + xy = x3 - 203194603752496447018924708520235x 
         + 1114929529839196014201757121107587089072126910897

	Torsion points: 

O, [4718983640383614, 511022162467774249866273], [4718983640383614, -511022167186757890249887], 
[8369986802710134, 23808762469535901991833], [8369986802710134, -23808770839522704701967]

	Independent points of infinite order: 

P1 = [8027600100620988, 32894236019256470217201]
P2 = [-3829999133799666, -1355353397506211679356367]
P3 = [8061961722017574, 27774856907561242483473]
P4 = [7946968104936462, 45096768529877802703665]
P5 = [8034202165161774, 31905090505386929804673]
P6 = [-3374408499549486, -1327466750275500216108027]

Eroshkin (2009)


y2 + xy = x3 - 351977692642507927577441218602598795x 
         + 80382547686623410309989730337857042541667137846263025

	Torsion points: 

O, [349028910355532990, -7160374460319340991434495], [188740966643636990, -143782773666365128409818495], 
[188740966643636990, 143782773477624161766181505], [349028910355532990, 7160374111290430635901505]

	Independent points of infinite order: 

P1 = [326200176684289490, 16649302728555119433106505]
P2 = [-27389228425951810, -300003997523526814668053695]
P3 = [338181175716791990, 5188233499156614642031505]
P4 = [308881601145739490, 33657716433371790114294005]
P5 = [329547875183614670, 13361888436752341653463505]
P6 = [463278590311144190, 129425409263297735417125505]
High rank curves with prescribed torsion Andrej Dujella home page