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curve #771

y² = x³ − 3368092x + 2377730260

a-invariants: [0, 0, 0, -3368092, 2377730260]
rank (lower bound): ≥ 9
torsion subgroup: trivial
conductor (N): 91949749274556776
discriminant (Δ): 2942391976785816832
Faltings height: 2.4805
naive height: 56.7032
primes of bad reduction: 2, 11493718659319597
regulator: 46695.810345643671306742114807869155455838894958076167932
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:23:08 UTC
last updated: 2026-09-18 12:23:08 UTC

Witness: 9 independent points log in to add more points →

(1086, -898)
(958, 5506)
(586, 24602)
(1004, 2866)
(1028, -1306)
(898, 8794)
(1012, -2378)
(1158, -5506)
(1446, 23042)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:23:08 UTC · history

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