curve #2035

y² = x³ + x² − 2947665298556215705720x + 22183025450436271789542330656000

a-invariants: [0, 1, 0, -2947665298556215705720, 22183025450436271789542330656000]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 1185557421935264818440
discriminant (Δ): 1426552661534701080474530330806942167306927862744295007911381222400
Faltings height: 11.3865
naive height: 159.9195
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 23, 31, 67, 89, 193, 347, 2039
regulator: 7534307.037734179442494821425851534602589587876112350
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:05:09 UTC
last updated: 2026-09-26 05:05:09 UTC

(2024244182144/361, -16562482984266792720/6859)
(436734357109/100, -3064777270194767127/1000)
(103122520, 4677505304472000)
(-13927303529443/484, 97111027591281049437/10648)
(-241002433807/16, 508649901193271409/64)
(-4038083912224/1369, -281349812255512640640/50653)
(6553774520, 1773750035194800)

2-isogenous partner of curve#1830 (Dujella - Eroshkin (2008)); 4-isogenous partner of curve#3334, curve#3335 (David Renshaw).

last edited by Steps Unbounded at 2026-09-26 21:48:42 UTC · history