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curve #1580

y² + xy = x³ − 266439437015692920x + 52937734034316909274523712

a-invariants: [1, 0, 0, -266439437015692920, 52937734034316909274523712]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/9ℤ
conductor (N): 7366061010
discriminant (Δ): -108562464315113950137469766573501431676928000000000
Faltings height: 8.6699
naive height: 131.9855
primes of bad reduction: 2, 3, 5, 7, 11, 37, 86183
regulator: 55.532531778618806412444851980521151133759113
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:21:49 UTC
last updated: 2026-09-25 01:21:49 UTC

Witness: 3 independent points log in to add more points →

(290634864, 224958242568)
(610400112, 10850086958088)
(49974590064, 11171199656853768)

Commentary

Torsion Z/9. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:21:50 UTC · history

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