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curve #1397

y² + xy = x³ − 9457326439565475x + 353997897350832555849441

a-invariants: [1, 0, 0, -9457326439565475, 353997897350832555849441]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/10ℤ
conductor (N): 17584842
discriminant (Δ): 15105777791634444543025264682550972192
Faltings height: 7.4485
naive height: 121.9703
primes of bad reduction: 2, 3, 11, 19, 37, 379
regulator: 69.8216833483570100968927346416041065105377
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:19:34 UTC
last updated: 2026-09-24 23:19:34 UTC

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

(300105242763/676, 160746821394564963/17576)
(333727513362987/5943844, -381536847037860819/14491091672)

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 23:19:34 UTC · history

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