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curve #1459

y² + xy = x³ − 151756056x + 718674316992

a-invariants: [1, 0, 0, -151756056, 718674316992]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/7ℤ
conductor (N): 2101134
discriminant (Δ): 542589141893258302690176
Faltings height: 3.4578
naive height: 68.1270
primes of bad reduction: 2, 3, 7, 19, 2633
regulator: 8.14237518016024008667058325965485456902083
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:03:19 UTC
last updated: 2026-09-25 00:03:19 UTC

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

(-1096, 940592)
(110277/16, 558693/64)

Commentary

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:03:19 UTC · history

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