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curve #1525

y² + xy + y = x³ − x² + 50270x + 872522

a-invariants: [1, -1, 1, 50270, 872522]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/4ℤ
conductor (N): 457025
discriminant (Δ): -8468874626640625
Faltings height: 1.7455
naive height: 44.0891
primes of bad reduction: 5, 101, 181
regulator: 58.264822459609949758724113626280888454071218
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:49:50 UTC
last updated: 2026-09-25 00:49:50 UTC

Witness: 3 independent points log in to add more points →

(134, 3095)
(434, 9995)
(489, 11680)

Commentary

Torsion Z/4. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:49:50 UTC · history

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