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curve #149

y² + y = x³ − 169x + 930

a-invariants: [0, 0, 1, -169, 930]
c-invariants: [8112, -803736]
rank (lower bound): ≥ 5
torsion subgroup: trivial
conductor (N): 64921931
discriminant (Δ): -64921931
Faltings height: 0.2341
naive height: 27.1941
primes of bad reduction: 64921931
regulator: 20.3987884109559936469620892946805796036044812187
submitted by: Seewoo Lee
submitted at: 2026-06-24 18:11:42 UTC
last updated: 2026-07-01 23:01:15 UTC

Witness: 5 independent points log in to add more points →

(8, 9)
(7, 9)
(6, 11)
(0, 30)
(20, 74)

Commentary

Test submission, https://www.lmfdb.org/EllipticCurve/Q/64921931/a/1

last edited by Seewoo Lee at 2026-06-24 18:12:07 UTC · history

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