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curve #1291

y² + xy = x³ − 24393911x + 46686479785

a-invariants: [1, 0, 0, -24393911, 46686479785]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/3ℤ
conductor (N): 22406086870
discriminant (Δ): -12662710814769783500800
Faltings height: 3.0696
naive height: 62.6567
primes of bad reduction: 2, 5, 17, 19, 23, 109, 2767
regulator: 65.9647583754357146938261557007676621050318313059
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:26:41 UTC
last updated: 2026-09-24 17:26:41 UTC

Witness: 5 independent points log in to add more points →

(3088, 26861)
(-1662, 288301)
(1427/4, 1558663/8)
(138202/49, 5682363/343)
(-914, 261645)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:26:41 UTC · history

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