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curve #1424

y² + y = x³ − 450x + 3674

a-invariants: [0, 0, 1, -450, 3674]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/3ℤ
conductor (N): 5427
discriminant (Δ): -48843
Faltings height: 0.1002
naive height: 29.9414
primes of bad reduction: 3, 67
regulator: 3.78191900622897082923031952767295386813064
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:34:19 UTC
last updated: 2026-09-24 23:34:19 UTC

Witness: 2 independent points log in to add more points →

(6, 34)
(22, 66)

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 23:34:19 UTC · history

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