curve #1200

y² + xy = x³ − x² + 2962398097993870614242358783x + 89863482554189700224578621923853972538941

a-invariants: [1, -1, 0, 2962398097993870614242358783, 89863482554189700224578621923853972538941]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 169865982816721595689011110169981949651950
discriminant (Δ): -5152427373496362914449555784513018772281717135939893060954382386450576463383548000000
Faltings height: 14.9395
naive height: 202.1214
primes of bad reduction: 2, 3, 5, 13, 29, 37, 53, 59, 79, 103, 163, 241, 257, 463, 557, 757, 1481, 2287, 159319
regulator: 241324294385725.946780758657692990104037834649885655163119542
submitted by: dujella
submitted at: 2026-09-23 22:40:20 UTC
last updated: 2026-09-23 22:40:20 UTC

(115279838005970, 1401204019899357389591)
(-82057797864949/25, -35378446128580671834491/125)
(74124799214690, 846598042205431932599)
(91248718315014738/961, 33002461985701423987711753/29791)
(6047190026463091/9, 471861487050477909546251/27)
(3512329938449361/64, 330916057730609611266781/512)
(22899864186443, 411959661333376779809)
(40101760257148898/841, 14211463683878546905641907/24389)
(873339767555298, 25861028217506200647143)
(-1220074088094525/49, -8838960400506977825972/343)
(-1764345134908463199525/418325209, -2378725366667516396991004140109483/8556005499677)

2-isogeneous to #1086

last edited by dujella at 2026-09-23 22:40:20 UTC · history