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curve #1467

y² + xy = x³ + 97060195x + 1294328797650

a-invariants: [1, 0, 0, 97060195, 1294328797650]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/8ℤ
conductor (N): 1330665
discriminant (Δ): -782234837974486930096625625
Faltings height: 3.8418
naive height: 69.3012
primes of bad reduction: 3, 5, 7, 19, 23, 29
regulator: 26.0288405819996680793249672796855219391307
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:11:19 UTC
last updated: 2026-09-25 00:11:19 UTC

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

(787525/16, 714868645/64)
(1583362, -1993202258)

Commentary

Torsion Z/8. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:11:19 UTC · history

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