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curve #1234

y² + xy = x³ − 14537860x + 36949045776

a-invariants: [1, 0, 0, -14537860, 36949045776]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ
conductor (N): 1193549293258
discriminant (Δ): -393174565813677642416128
Faltings height: 3.2215
naive height: 62.1888
primes of bad reduction: 2, 7, 47, 53, 79, 199, 311
regulator: 340.90755867370363313454824750746863890990998911061
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:37:01 UTC
last updated: 2026-09-24 14:37:01 UTC

Witness: 6 independent points log in to add more points →

(-2516, 241260)
(-1760, 239804)
(3014, 141720)
(3336, 158268)
(4120, 214716)
(5660, 365944)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 14:37:01 UTC · history

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