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curve #765

y² = x³ − 9907x + 306370

a-invariants: [0, 0, 0, -9907, 306370]
rank (lower bound): ≥ 6
torsion subgroup: trivial
conductor (N): 7208218544
discriminant (Δ): 21682321380352
Faltings height: 1.2749
naive height: 39.2166
primes of bad reduction: 2, 47, 9585397
regulator: 65.884442739787111004263409497322915996313444882905
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:21:07 UTC
last updated: 2026-09-18 12:21:07 UTC

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

(81, 188)
(-13, 658)
(-107, 376)
(34, 94)
(269, 4136)
(363, 6674)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:21:07 UTC · history

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