curve #1911

y² + xy = x³ − 475580051023836530278979780324370x + 3991178865068293690072267520912681524547928912900

a-invariants: [1, 0, 0, -475580051023836530278979780324370, 3991178865068293690072267520912681524547928912900]
rank (lower bound): ≥ 8
torsion subgroup: ℤ/6ℤ
conductor (N): 404821357015884694427452922130
discriminant (Δ): 2610735279109552099070669893617751037114297360022451819003539820578980730092298147352018944000000
Faltings height: 17.4944
naive height: 237.3399
primes of bad reduction: 2, 3, 5, 7, 17, 37, 41, 61, 197, 877, 1279, 1723, 1783, 1805123
regulator: 30414487.6497996254984106468445679238321274325859314563
submitted by: dujella
submitted at: 2026-09-25 18:24:05 UTC
last updated: 2026-09-25 18:24:05 UTC

(12414160757549190, 20376334565212544774130)
(-2913636650512200, -2313463129634505564898530)
(-8796678909081774, -2737517691286172125747428)
(12159120155571140, 78735685592736995110430)
(-5126598523468860, -2508894081763080979161570)
(-18577968488402460, -2532680992738305321897570)
(1772678827009290180, 2360002023751301613880680990)
(23747617109637060, 2467739518676845265287710)

found by Dujella - Eroshkin (2008)

last edited by dujella at 2026-09-25 18:24:06 UTC · history