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curve #1521

y² + xy = x³ − 145188x + 21289744

a-invariants: [1, 0, 0, -145188, 21289744]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/3ℤ
conductor (N): 290594
discriminant (Δ): -156011465801728
Faltings height: 1.6802
naive height: 47.2718
primes of bad reduction: 2, 31, 43, 109
regulator: 10.245096704810557425926847386312105662279717
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:49:10 UTC
last updated: 2026-09-25 00:49:10 UTC

Witness: 3 independent points log in to add more points →

(1224, 40348)
(-184, 6556)
(-24, 4988)

Commentary

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

last edited by Michael Rubinstein at 2026-09-25 00:49:10 UTC · history

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