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curve #1402

y² + xy = x³ − 425751971710x + 304734111548084036

a-invariants: [1, 0, 0, -425751971710, 304734111548084036]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/10ℤ
conductor (N): 2544594
discriminant (Δ): -35177648409703748360997611210880304128
Faltings height: 5.8897
naive height: 94.0396
primes of bad reduction: 2, 3, 13, 17, 19, 101
regulator: 26.8285008334186093823186169985547710831357
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:21:44 UTC
last updated: 2026-09-24 23:21:44 UTC

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

(695503796/961, 18249010221806/29791)
(-117472108/529, -7580632331402/12167)

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 23:21:44 UTC · history

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