curve #1955

y² = x³ + x² − 314284838762466524198745x + 68945569305984944070825305367974475

a-invariants: [0, 1, 0, -314284838762466524198745, 68945569305984944070825305367974475]
rank (lower bound): ≥ 18
torsion subgroup: trivial
conductor (N): 85850933795358193405650827377552779242019124004870040
discriminant (Δ): -66726109981991261487017444518472103341804887564832857564794502668000000
Faltings height: 12.3835
naive height: 173.9604
primes of bad reduction: 2, 3, 5, 13, 19, 37, 59, 5413, 267737, 1912843, 478616142772121010856228652899
regulator: 1087953217462384.6125890752335175005691522382119081574429293256442221448806
submitted by: Ritik Jain
submitted at: 2026-09-25 20:06:34 UTC
last updated: 2026-09-25 20:06:34 UTC

(-9804417639221265/57121, 4686278946925804161219750/13651919)
(108636266697015/49, -1099200776604308970150/343)
(603236920879631407619193885/30664156858409281, -1345315574192764916853754095187835845974450/5369656960188825527396321)
(6312920234355, -15801058823263773930)
(2219618578677710/121, -104524247274463038017775/1331)
(205283499285, 114363431465097750)
(13750258229910, -50946082188982124625)
(2560990523085, -4007588188431829950)
(4463880068070, -9360250825768239735)
(107762621687415/289, -294787887291007068150/4913)
(311445687495, -35674221312222090)
(4962180815685/4, -10081907890824949335/8)
(89006991405, -204149838386780130)
(-3167550704536875/5329, -83207062393541945935830/389017)
(7679868201717692243362509/25203803674921, -4853905873506758811571335496274421630/126531638537549218219)
(898640849858685/841, -23810835341117333232750/24389)
(2804356573955904229874190/9061803740089, 991944282068178689128796005752558225/27278593748126335187)
(7796558764919140670606677/23461206880329, 3940924354292522622373618755354972778/113638508158491329733)

No commentary yet.