Rank ≥ 32

Elkies - Klagsbrun - Li (2026)

y2 + xy = x3 - 28623928991398919165500467001947502452240040593445344054331428726899413x  
              + 1636638097022027963025086119463360482368875730889253334875693440181143871885452358966522018914326964558817 

	Independent points of infinite order: 

P1 = [-17285086047619198200275927219245378, 46111179066568373276607383102482144371741815219099939]
P2 = [68215181559115791286912139413731752, 1215745994536280739541523550709421744253343778830649]
P3 = [-1387344455679348370056438549185082782/9, 1318887523853880583666480399346070475437416669116157773/27]
P4 = [-15173111738907417143928794817757678, 45469318950895008100110363225734405329931508848152439]
P5 = [63927798059157219113420682804111698, 8248098441085605177795173740047151713081679803826295]
P6 = [-175920256516773927216987811704653998, 35039949672608908854097547246063300466459786974561399]
P7 = [-93349800702048191841766577329428814, 59120290116614451959806566061007034385548422315557655]
P8 = [573754124312442257185948307163664322, 417240744005751235417966893171909121015622127878014439]
P9 = [180006952777798089015773645901232682, 48133228635307144812860154882618375388961803603653359]
P10 = [160321396413246682065277325922567122, 34181028216507334116572719306351091991947961215512439]
P11 = [187998867721967795592534802279222802, 53850940566565683134619753906882886861610126637377399]
P12 = [66617012700760176909764459672180402, 5043034032676679080907370401847501570294251282527799]
P13 = [20473830338934141513040567654006703/4, 308831275829136886260134068291679983315164149145219097/8]
P14 = [-144242496519268397216179549818488068, 52576900190391597126212347647253606266517688605410359]
P15 = [127127961818398385902253516853523682, 7233068110664577625624691797727005745748746428983959]
P16 = [128297156333802580224247307136843998, 8721305327064650980334193697546159894082981290426307]
P17 = [58654760853591405256596003080713082, 12629454082754085813424972634967232920799950887988359]
P18 = [264668488801898558937265106101400402, 112252649320378317400537269027978355118572889895583799]
P19 = [48875938435594063723701413074480706, 18824833359492620836802938656259778030946627675230039]
P20 = [-46751488921809892782619440189415918, 53597244206965961195885993921166172011561612233629559]
P21 = [63212355736975402066975330539562322, 8935108690519176550367540044314374317678553998365239]
P22 = [149965180266399526372714179597820802, 26771171797667975348875052454770449653345087625477799]
P23 = [-182854634263257276680050224594247678, 27509307978199386953099786312866803703357383022035239]
P24 = [27279643140022388956147032953143322, 29598791605568521450032539172535594675573347618078239]
P25 = [152646461785987818202823388078235682, 28707194425824194229749493385297886276143005584430359]
P26 = [-155412007773607516887022658957572372, 48285514471575161902643629074973045338520277417757335]
P27 = [-136511375279649473687107598119871134, 54774008346958134705142692377896672040680545719542679]
P28 = [-22380805593714240644839255686446314, 47603089514353981823409086886326475736479031451520155]
P29 = [60968847620036686567594611958700402, 10867545979063818686920688106980677205378178408655799]
P30 = [7632386621288771404751045484484178, 37664490123215897851101937789570480710930615542924087]
P31 = [23257921216948228220425920362648882, 31360579392942811665262265279771839971273135748081559]
P32 = [-151470070563153081195648444471171118, 49971003620032674130056543677631999602019036919525559]