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curve #1276

y² + xy = x³ − x² − 7337079x + 7650982089

a-invariants: [1, -1, 0, -7337079, 7650982089]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/2ℤ
conductor (N): 672899094
discriminant (Δ): 2312916568741565892
Faltings height: 2.5917
naive height: 59.0390
primes of bad reduction: 2, 3, 7, 37, 47, 83
regulator: 15.0982903018234633536226944330240605559684707672
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:24:15 UTC
last updated: 2026-09-24 17:24:15 UTC

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(3876, 191535)
(-1353, 123558)
(2877, 100293)
(1482, 4803)
(1656, 5499)

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 17:24:15 UTC · history

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