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curve #2078

y² + xy + y = x³ + x² − 1154x + 12431

a-invariants: [1, 1, 1, -1154, 12431]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 966
discriminant (Δ): 26337394944
Faltings height: 0.7228
naive height: 32.7666
primes of bad reduction: 2, 3, 7, 23
regulator: 4.858093228061399218994797053851686870537
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:15:04 UTC
last updated: 2026-09-26 05:15:04 UTC

Witness: 1 independent point log in to add more points →

(325/9, -4271/27)

Commentary

2-isogenous partner of curve#1040 (David Renshaw), curve#2564 (Natanael Wildner Fraga).

last edited by Steps Unbounded at 2026-09-26 21:58:12 UTC · history

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