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curve #1534

y² + xy = x³ − 7946395x + 8621052881

a-invariants: [1, 0, 0, -7946395, 8621052881]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/5ℤ
conductor (N): 1699422
discriminant (Δ): 1430402218782077952
Faltings height: 2.5906
naive height: 59.2783
primes of bad reduction: 2, 3, 17, 16661
regulator: 8.5460460442459702692149010828412536227511370
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:51:21 UTC
last updated: 2026-09-25 00:51:21 UTC

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

(-3250, 12641)
(-1210, 128921)
(728, 56399)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:51:21 UTC · history

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