curve #2090

y² + xy + y = x³ + x² + 11932381692979426954x − 19798420014068348609823784621

a-invariants: [1, 1, 1, 11932381692979426954, -19798420014068348609823784621]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/2ℤ
conductor (N): 274041685980626458099814310
discriminant (Δ): -278067255719425324439755197968452038407610299086393750860000
Faltings height: 10.0917
naive height: 143.8339
primes of bad reduction: 2, 3, 5, 13, 41, 83, 101, 157, 163, 313, 389, 409, 613, 2617
regulator: 14476581915.47603780881857213181004219961152466385778786441
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:54:22 UTC
last updated: 2026-09-26 06:54:22 UTC

(4883477653, 393616667449907)
(85051773671/49, -26883135654179195/343)
(1374296971091/529, -2062479844606120555/12167)
(2725158272509/1521, 5079356537011673665/59319)
(1135700594411/484, 1547452630374243455/10648)
(64220386396727/2809, -520068156785392105847/148877)
(1423497779, 8472643720585)
(658778382307/289, -681590724368944109/4913)
(41508565353197/529, -267681840984983666467/12167)
(6388999987/4, 462023418785137/8)

2-isogenous partner of curve#1203 (NDElkies); 4-isogenous partner of curve#1374 (jesper-petersen). Isogenous to curve#2089 (also ours).

last edited by Steps Unbounded at 2026-09-26 21:41:11 UTC · history