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curve #1237

y² = x³ + x² − 22745x + 53383399

a-invariants: [0, 1, 0, -22745, 53383399]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/2ℤ
conductor (N): 342404181952
discriminant (Δ): -1230704720806801408
Faltings height: 2.1502
naive height: 49.1095
primes of bad reduction: 2, 7, 31, 71, 113, 439
regulator: 579.30182256995320359709256216136009986275882291779
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:37:31 UTC
last updated: 2026-09-24 14:37:31 UTC

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

(597, 15904)
(-113, 7384)
(171, 7384)
(-255, 6532)
(1591, 63616)
(975, 30968)

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 14:37:31 UTC · history

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