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curve #1514

y² + xy = x³ − x² − 2664x + 52924

a-invariants: [1, -1, 0, -2664, 52924]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ
conductor (N): 69966
discriminant (Δ): 30501117972
Faltings height: 0.8153
naive height: 35.2766
primes of bad reduction: 2, 3, 13, 23
regulator: 0.81807621474213749037746830460593130575425752
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:45:19 UTC
last updated: 2026-09-25 00:45:19 UTC

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

(50, 182)
(23, 47)
(257, 3908)

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 00:45:19 UTC · history

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