curve #1107

y² = x³ + x² − 6141005737705911671519806644217969840x + 5857433177348803158586285785929631477808095171159063188

a-invariants

[0, 1, 0, -6141005737705911671519806644217969840, 5857433177348803158586285785929631477808095171159063188]

rank (lower bound)

≥ 9

torsion subgroup

ℤ/2ℤ × ℤ/4ℤ

conductor (N)

23515327282613507747374277141873040

discriminant (Δ)

1742571860758082912490609500428852720184110266244421976008375712324617057421863093650240206714774735360000

Faltings height

19.6493

naive height

265.7378

primes of bad reduction

2, 3, 5, 7, 11, 13, 17, 59, 79, 83, 101, 107, 193, 223, 1997, 5077, 3156073

regulator

445515873.42499498793978203648459808761599483995567884615

submitted by

dujella

submitted at

2026-09-23 20:04:43 UTC

later contributions

(-612695149795875652, 3064309824349077381027308358)
(-431590874944672564, 2903005768083873104158859430)
(187501554154394546, 2170847073897415394832351000)
(-1383500708967173302, 3421314943163833774567917408)
(1428519047239049546, 4551549120021779137548000)
(1430248713837731282, 818226000869154831593640)
(1429305792931194266, 2901212522992755483557760)
(103900694057898826, 2284841365124562079087206240)
(1429854291102331316, 1726936504767203175719910)

found by Dujella - Peral (2012)

last edited by dujella at 2026-09-23 20:04:43 UTC · history