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curve #2044

y² = x³ − 133250061x + 442464394660

a-invariants: [0, 0, 0, -133250061, 442464394660]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 84505183776
discriminant (Δ): 66844957039168215903787584
Faltings height: 3.6649
naive height: 67.7368
primes of bad reduction: 2, 3, 13, 43, 71, 7393
regulator: 11641.3979074583001780331758920986822055914935654
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:07:13 UTC
last updated: 2026-09-26 05:07:13 UTC

Witness: 5 independent points log in to add more points →

(-35119/4, -7738065/8)
(107485/81, 377380900/729)
(-981231/196, 2722070065/2744)
(3189, 223520)
(327749/25, -121756932/125)

Commentary

2-isogenous partner of curve#1726 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:50:29 UTC · history

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