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curve #2094

y² = x³ + x² + 12324101424x + 211496520733540

a-invariants: [0, 1, 0, 12324101424, 211496520733540]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ
conductor (N): 1320567443182219149040
discriminant (Δ): -139119896693136623143124873190400
Faltings height: 4.8565
naive height: 81.3181
primes of bad reduction: 2, 5, 29, 71, 89, 229, 401, 557, 631, 2791
regulator: 1317617713.2440234013782539249388977504178049012593905636
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:56:10 UTC
last updated: 2026-09-26 06:56:10 UTC

Witness: 9 independent points log in to add more points →

(-5329, -12069386)
(276986, -157720916)
(1439801/16, 2897170699/64)
(56209754/289, -490469761492/4913)
(441551, 302888446)
(29814314/169, -194979610532/2197)
(17550874/225, -136987308332/3375)
(-268159/16, 31212119/64)
(4510279/9, 9818739062/27)

Commentary

2-isogenous partner of curve#1365 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:43:09 UTC · history

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