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curve #1496

y² = x³ + x² − 145x + 399

a-invariants: [0, 1, 0, -145, 399]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ
conductor (N): 61376
discriminant (Δ): 109985792
Faltings height: 0.2463
naive height: 26.5507
primes of bad reduction: 2, 7, 137
regulator: 2.2331053881436027905700347516188842183403666
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:40:19 UTC
last updated: 2026-09-25 00:40:19 UTC

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

(-11, 28)
(17, 56)
(-13, 16)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:40:19 UTC · history

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