Rank ≥ 24


Martin - McMillen (2000)

y2 + xy + y = x3 - 120039822036992245303534619191166796374x  
              + 504224992484910670010801799168082726759443756222911415116 

	Independent points of infinite order: 

P1 = [2005024558054813068, -16480371588343085108234888252] 
P2 = [-4690836759490453344, -31049883525785801514744524804] 
P3 = [4700156326649806635, -6622116250158424945781859743] 
P4 = [6785546256295273860, -1456180928830978521107520473]
P5 = [6823803569166584943, -1685950735477175947351774817]
P6 = [7788809602110240789, -6462981622972389783453855713]
P7 = [27385442304350994620556, 4531892554281655472841805111276996] 
P8 = [54284682060285253719/4, -296608788157989016192182090427/8]
P9 = [-94200235260395075139/25, -3756324603619419619213452459781/125]
P10 = [-3463661055331841724647/576, 
      -439033541391867690041114047287793/13824] 
P11 = [-6684065934033506970637/676, 
      -473072253066190669804172657192457/17576] 
P12 = [-956077386192640344198/2209, 
      -2448326762443096987265907469107661/103823] 
P13 = [-27067471797013364392578/2809, 
      -4120976168445115434193886851218259/148877] 
P14 = [-25538866857137199063309/3721, 
      -7194962289937471269967128729589169/226981] 
P15 = [-1026325011760259051894331/108241, 
      -1000895294067489857736110963003267773/35611289] 
P16 = [9351361230729481250627334/1366561, 
      -2869749605748635777475372339306204832/1597509809] 
P17 = [10100878635879432897339615/1423249, 
      -5304965776276966451066900941489387801/1697936057] 
P18 = [11499655868211022625340735/17522596, 
      -1513435763341541188265230241426826478043/73349586856] 
P19 = [110352253665081002517811734/21353641, 
      -461706833308406671405570254542647784288/98675175061]
P20 = [414280096426033094143668538257/285204544, 
      266642138924791310663963499787603019833872421/4816534339072] 
P21 = [36101712290699828042930087436/4098432361, 
      -2995258855766764520463389153587111670142292/262377541318859] 
P22 = [45442463408503524215460183165/5424617104, 
      -3716041581470144108721590695554670156388869/399533898943808] 
P23 = [983886013344700707678587482584/141566320009, 
      -126615818387717930449161625960397605741940953/53264752602346277] 
P24 = [1124614335716851053281176544216033/152487126016, 
      -37714203831317877163580088877209977295481388540127/59545612760743936] 

Rank records history Andrej Dujella home page