curve #922

y² + y = x³ + x² − 131x − 650

a-invariants: [0, 1, 1, -131, -650]
rank (lower bound): ≥ 0
torsion subgroup: trivial
conductor (N): 35
discriminant (Δ): -13671875
Faltings height: 0.1275
naive height: 26.3369
primes of bad reduction: 5, 7
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:01:27 UTC
last updated: 2026-09-23 15:01:27 UTC

Witness: no points (rank ≥ 0 needs none) log in to add more points →

Commentary

Cremona 35a2 = LMFDB 35.a1: https://www.lmfdb.org/EllipticCurve/Q/35/a/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 35, minimal discriminant -13671875, trivial torsion.

last edited by David Renshaw at 2026-09-23 15:01:27 UTC · history