curve #3917

y² + xy = x³ − 5796617593355618567231244511643810x + 160659836502916675400815207153491155453418713228100

a-invariants: [1, 0, 0, -5796617593355618567231244511643810, 160659836502916675400815207153491155453418713228100]
rank (lower bound): ≥ 21
torsion subgroup: trivial
conductor (N): 30926361567474623523124065339881327106605846584030935038717884305958530
discriminant (Δ): 1314730295089311126024740041975291366585995506011702584280512612092149219460748815623747542528000000000
Faltings height: 18.3469
naive height: 244.8414
primes of bad reduction: 2, 3, 5, 7, 11, 19, 23, 29, 59, 97, 7237, 117937, 1085687, 531345912967, 53558079724020124357083416946571
regulator: 23726292153173061169.110051330149967496734524801669184168855338699222632503553234
submitted by: 7fff-zip
submitted at: 2026-10-04 15:33:01 UTC
last updated: 2026-10-04 15:33:01 UTC

(18625765744621060, 7691230705612068532561390)
(25895377238312740, 5283835231718306456080270)
(29039202232641220, 4101064108398502349881390)
(34685353963559380, 1153751851518571760872030)
(55204093339254220, 2982758143527596657209390)
(59746703829630052, 5254234039793719032666766)
(-6271312679512520, 14027315896893934472524090)
(1095241643613580, -12422256370641884222835410)
(34198880639268580, -1555558983374601216333170)
(54121452278992816, -2338232260814269533925598)
(78218503024878220, 13631154914928216336601390)
(-16775774505902660, 15911676123495939595051990)
(-29762359440686330, 17516204318719799780086690)
(-69230385878425628, 15170738595296266634229646)
(-76983946585501700, 12274315426435384478132590)
(208464423008999700, 89507521231259163973840590)
(-5426397643470446660/81, -11487875296124310819809379290/729)
(13355176214300380945/256, 2001052270385805565423262815/4096)
(155746153340598017530/1681, -1410661096995847524769436102620/68921)
(125301723983869130874220/2019241, 18126215244433721708724740101755590/2869341461)
(863932089884632062303865/13366336, 365753202540620083419326752450941095/48867324416)

X1092, t=-577/284

last edited by 7fff-zip at 2026-10-04 15:33:02 UTC · history