Torsion group Z/2Z, rank = 20

Elkies - Klagsbrun (2020)

y2 + xy + y = x3 - x2 - 244537673336319601463803487168961769270757573821859853707x 
         + 961710182053183034546222979258806817743270682028964434238957830989898438151121499931

	Torsion points: 

O, [-69288588686111702678625616725/4, 69288588686111702678625616721/8]

	Independent points of infinite order:

P1 = [-5976635286513806621064126789, -1486518161621811752215471892311622350764326]
P2 = [595416388787490259443766591, 903504029373113768509734316584679010931354]
P3 = [2434562872293108275107029075, 617088105910990842809058933920186352787402]
P4 = [3513074027344435171140978981, 382084415613590558839076708139976548338374]
P5 = [399682145249051758133327419, 929535737737305075763667416604801178363754]
P6 = [-10714754038296881855524018251, -1533542840817584957359022971329370697480444]
P7 = [-16034220456847626275437501599, -871976826237835562350053313866844829289386]
P8 = [1185828672355214392425799131, 820608248516937017244986013572105379548074]
P9 = [-11190697582885409770718510409, -1515528657208794070421971888182751388116946]
P10 = [2634316446310680332042122261, 579484021184216876019568884495793999507014]
P11 = [64222149978369055569434725591, 15815822465644868585416444171217848754979354]
P12 = [23945425437351916471937562579, 2972551260335618106366053972465493213480034]
P13 = [251112537077876411029986504415821/72361, 7660680492845270503732516891131042427064917041476/19465109]
P14 = [13094114400583295432756346651, 69052082853368511623611930199368498525114]
P15 = [2689776334541089917424552236511, 4411303346731260129651357011579276750542331014]
P16 = [-2627014038979941829331861469, -1259358775896763343051694775385987771517806]
P17 = [13434870681765045829611551147217379/1026169, 67909287018595777234819162150437056031048512222738/1039509197]
P18 = [-2128476924703349108908527744522501/243049, -186847352402051756015896357808242938299356659058862/119823157]
P19 = [-7364938748841807757773625709, -1537278043534293249189664536251504660398646]
P20 = [785686589410787916270883192839, 696287187804791686384919800041247659097028446]

Li (2026)

y2 + xy = x3 - 29188703069051197770429450437433760294668752911731105x 
         + 1914913739665654540832114459877752009552918529508658641086106271137300997150025

	Torsion points: 

O, [94709502436660444161342186, -47354751218330222080671093]

	Independent points of infinite order:

P1 = [102672928433494550029121610, 19350250119651018800400209587494837195]
P2 = [102728109853404198417727860, 22579174223061689145875422637976687195]
P3 = [87499856838290758648815660, 175570460465740496497781083075370589195]
P4 = [-99190226902144765491120630, -1958122780688980578626456400236039412405]
P5 = [69161475959805442059169710, 476445922241296707569339055479213208195]
P6 = [88986347136501450078286230, 148870052965353729538703195998905316695]
P7 = [21362140115975109689083050, 1140670415120704772214803792153664097995]
P8 = [102534744187930939119818970, 6605067719000827135665896993782367595]
P9 = [94514501111047889524776510, 21335680786690452120900001791572209695]
P10 = [5533675819443143997964440, 1324221419975655376763636997997279239315]
P11 = [8028994322511769832694570, 1296562916156846142784755679411303037835]
P12 = [91368246913747876997447910, 103679983389688649899061470508550294195]
P13 = [90361720579402087503911610, 123278114653328611041369760390327281195]
P14 = [94552266874320737911364010, 19114542739111332494917947635756397195]
P15 = [-128738826706683143982632214, -1881211391671814128876734951367136975733]
P16 = [-32162134778794982369150070, -1679409460456306338749719869013252346805]
P17 = [110822508602597072532632586, 203050026219210362179297574230466198187]
P18 = [462588438659914849416345780, 9348848131433773329439777008818219879025]
P19 = [756873227284794626441720490, 20332313060997905986897445332785234721995]
P20 = [76074715945544651618658630, 366965115500017307225816522845056546675]