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curve #1463

y² + xy = x³ + 1501735460x + 751099154339600

a-invariants: [1, 0, 0, 1501735460, 751099154339600]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/7ℤ
conductor (N): 7537530
discriminant (Δ): -243929443302550078932418560000000
Faltings height: 4.8936
naive height: 82.0283
primes of bad reduction: 2, 3, 5, 7, 11, 13, 251
regulator: 2.21518235047517155656959192189547217441362
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:07:19 UTC
last updated: 2026-09-25 00:07:19 UTC

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

(-58120, 21650660)
(134930, 58330160)

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 00:07:19 UTC · history

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