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curve #1464

y² + xy + y = x³ − x² − 97121697x + 377834669169

a-invariants: [1, -1, 1, -97121697, 377834669169]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/7ℤ
conductor (N): 816310
discriminant (Δ): -3032781600661176320000000
Faltings height: 3.4757
naive height: 66.8385
primes of bad reduction: 2, 5, 11, 41, 181
regulator: 8.76329302367032633227200617925849236930529
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:08:19 UTC
last updated: 2026-09-25 00:08:19 UTC

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

(8757, 441506)
(291127, 156846436)

Commentary

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:08:19 UTC · history

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