curve #1905

y² + xy = x³ − 480510101420343678511903884x + 2444567252166483991593076470098546378640

a-invariants: [1, 0, 0, -480510101420343678511903884, 2444567252166483991593076470098546378640]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/8ℤ
conductor (N): 100953927534377850702
discriminant (Δ): 4518884533599298273362422843927608858482328462251415596477508184914321343969271552
Faltings height: 14.3683
naive height: 195.9243
primes of bad reduction: 2, 3, 7, 11, 19, 23, 59, 167, 1033, 2543, 19319
regulator: 1661390.68095662762869332527305487174404185757773
submitted by: dujella
submitted at: 2026-09-25 17:56:38 UTC
last updated: 2026-09-25 17:56:38 UTC

(152142052528410, 1857687175181176518630)
(-17446157816898, -74280290007379818960)
(-13924080691168, -80222356449268800940)
(135431528216497152/49729, 377069596220028001934128980/11089567)
(255085146694101509910/6661561, 3446938201295351045754826491120/17193488941)

found by Dujella - Peral (2012)

last edited by dujella at 2026-09-25 17:56:38 UTC · history