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curve #768

y² = x³ − 12979x + 405826

a-invariants: [0, 0, 0, -12979, 405826]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 1074680679376
discriminant (Δ): 68779563480064
Faltings height: 1.3619
naive height: 40.0269
primes of bad reduction: 2, 199, 337525339
regulator: 760.5953456333352499547190852199327921483790765913715
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:21:18 UTC
last updated: 2026-09-18 12:21:18 UTC

Witness: 7 independent points log in to add more points →

(33, 116)
(93, -56)
(133, 1016)
(-95, -884)
(-35, -904)
(-21, 818)
(-5, 686)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:21:18 UTC · history

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