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curve #1477

y² + xy = x³ − 2580246568515x + 1595290851344268225

a-invariants: [1, 0, 0, -2580246568515, 1595290851344268225]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/9ℤ
conductor (N): 175511910
discriminant (Δ): -29554652742896710347471000000000
Faltings height: 5.5864
naive height: 97.3503
primes of bad reduction: 2, 3, 5, 7, 17, 211, 233
regulator: 26.8135580347950752047614033830414701462105
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:21:18 UTC
last updated: 2026-09-25 00:21:18 UTC

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

(149625420/169, 151949774445/2197)
(29551830, -160430712015)

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 00:21:19 UTC · history

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