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curve #1500

y² + xy + y = x³ + x² − 234x + 1230

a-invariants: [1, 1, 1, -234, 1230]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ
conductor (N): 65481
discriminant (Δ): 58736457
Faltings height: 0.2559
naive height: 27.9798
primes of bad reduction: 3, 13, 23, 73
regulator: 1.6273829146292360218576890299908632116580766
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:42:18 UTC
last updated: 2026-09-25 00:42:18 UTC

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

(30, 134)
(-16, 42)
(-29/9, 1226/27)

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 00:42:19 UTC · history

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