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curve #649

y² + xy + y = x³ + x² − 2x

a-invariants: [1, 1, 1, -2, 0]
rank (lower bound): ≥ 1
torsion subgroup: trivial
conductor (N): 79
discriminant (Δ): 79
Faltings height: -0.8950
naive height: 13.7241
primes of bad reduction: 79
regulator: 0.09766421010818698485374552084408836131254
submitted by: David Renshaw
submitted at: 2026-09-08 19:03:29 UTC
last updated: 2026-09-08 19:03:29 UTC

Witness: 1 independent point log in to add more points →

(0, 0)

Commentary

Cremona 79a1 = LMFDB 79.a1. Curve data, generator (0, 0) and rank from the LMFDB: https://www.lmfdb.org/EllipticCurve/Q/79/a/1

last edited by David Renshaw at 2026-09-08 19:03:29 UTC · history

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