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curve #1455

y² + xy = x³ − 3737122377352596x + 87427097627631279895440

a-invariants: [1, 0, 0, -3737122377352596, 87427097627631279895440]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/2ℤ × ℤ/6ℤ
conductor (N): 35225755890
discriminant (Δ): 38358781908754252356806793947122972020336230400
Faltings height: 7.7738
naive height: 119.1849
primes of bad reduction: 2, 3, 5, 13, 59, 89, 103, 167
regulator: 35.9234364779301303567662885189354382629327
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:59:19 UTC
last updated: 2026-09-24 23:59:19 UTC

Witness: 2 independent points log in to add more points →

(338095792/9, 193743645772/27)
(22006670568/841, 2119451951212764/24389)

Commentary

Torsion Z/6+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 23:59:19 UTC · history

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