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curve #1396

y² + xy = x³ − 591081099800835x + 5531252534028039786561

a-invariants: [1, 0, 0, -591081099800835, 5531252534028039786561]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/10ℤ
conductor (N): 17584842
discriminant (Δ): -290219210479739497945890186067324684336128
Faltings height: 7.1019
naive height: 113.6525
primes of bad reduction: 2, 3, 11, 19, 37, 379
regulator: 17.4554208370892525242231836604010266276344
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:19:24 UTC
last updated: 2026-09-24 23:19:24 UTC

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

(436489947546/30625, 7611536204534319/5359375)
(696611364/49, -412578202161/343)

Commentary

Torsion Z/10. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:19:24 UTC · history

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