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curve #2026

y² = x³ − x² + 32630276060x + 2191351912445416

a-invariants: [0, -1, 0, 32630276060, 2191351912445416]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/2ℤ
conductor (N): 1541137965099140472324
discriminant (Δ): -4298020648289230874057835792776448
Faltings height: 5.1401
naive height: 84.2391
primes of bad reduction: 2, 3, 13, 17, 31, 71, 73, 83, 373, 3877, 30133
regulator: 117374260.22413179039738516425199704229077688469564703400
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:03:10 UTC
last updated: 2026-09-26 05:03:10 UTC

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

(-3282, 45653302)
(94046, -78050586)
(170958, -112987862)
(13038, 51176182)
(-67723/4, -323386419/8)
(2401358, -3732026538)
(-480626/9, 464917762/27)
(562118, 445139598)
(-1427706/25, 1487662778/125)

Commentary

2-isogenous partner of curve#1367 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:43:23 UTC · history

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