curve #990

y² + xy = x³ − x + 1

a-invariants: [1, 0, 0, -1, 1]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/3ℤ
conductor (N): 110
discriminant (Δ): -440
Faltings height: -0.8071
naive height: 13.6854
primes of bad reduction: 2, 5, 11
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:11:09 UTC
last updated: 2026-09-23 15:11:09 UTC

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

Commentary

Cremona 110b1 = LMFDB 110.c1: https://www.lmfdb.org/EllipticCurve/Q/110/c/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 110, minimal discriminant -440, torsion ℤ/3ℤ.

last edited by David Renshaw at 2026-09-23 15:11:09 UTC · history