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curve #764

y² + xy = x³ − x² − 1486x + 21688

a-invariants: [1, -1, 0, -1486, 21688]
rank (lower bound): ≥ 6
torsion subgroup: trivial
conductor (N): 6895251302
discriminant (Δ): 13790502604
Faltings height: 0.7138
naive height: 33.5255
primes of bad reduction: 2, 3447625651
regulator: 98.156548967392524183288216436963503258322685702834
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:15:20 UTC
last updated: 2026-09-18 12:15:20 UTC

Witness: 6 independent points log in to add more points →

(26, -2)
(19, -3)
(12, -80)
(42, 158)
(14, 52)
(28, -52)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:15:20 UTC · history

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