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curve #664

y² + xy = x³ − 202x + 1089

a-invariants: [1, 0, 0, -202, 1089]
rank (lower bound): ≥ 4
torsion subgroup: trivial
conductor (N): 602461
discriminant (Δ): -602461
Faltings height: 0.0483
naive height: 27.5399
primes of bad reduction: 602461
regulator: 4.459211538820585923873317424725971561844600062
submitted by: David Renshaw
submitted at: 2026-09-08 19:17:45 UTC
last updated: 2026-09-08 19:17:45 UTC

Witness: 4 independent points log in to add more points →

(8, -3)
(7, 2)
(9, 0)
(0, 33)

Commentary

LMFDB 602461.a1. Curve data, generators (8, -3), (7, 2), (9, 0), (0, 33) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/602461/a/1

last edited by David Renshaw at 2026-09-08 19:17:45 UTC · history

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