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curve #1232

y² + xy = x³ − x² − 324x + 2844

a-invariants: [1, -1, 0, -324, 2844]
rank (lower bound): ≥ 5
torsion subgroup: trivial
conductor (N): 62073486
discriminant (Δ): -1117322748
Faltings height: 0.4506
naive height: 29.3713
primes of bad reduction: 2, 3, 1149509
regulator: 9.47193093425832725454321315590046641793661660081
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:36:40 UTC
last updated: 2026-09-24 14:36:40 UTC

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

(12, 18)
(6, 30)
(18, 42)
(3, 42)
(15, 27)

Commentary

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

last edited by Michael Rubinstein at 2026-09-24 14:36:40 UTC · history

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