curve #1046

y² + xy + y = x³ − x² − 10422x + 412869

a-invariants: [1, -1, 1, -10422, 412869]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/7ℤ
conductor (N): 2110
discriminant (Δ): -270080000000
Faltings height: 1.0776
naive height: 39.3723
primes of bad reduction: 2, 5, 211
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:20:46 UTC
last updated: 2026-09-23 15:20:46 UTC

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Commentary

Cremona 2110h1 = LMFDB 2110.e1: https://www.lmfdb.org/EllipticCurve/Q/2110/e/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 2110, minimal discriminant -270080000000, torsion ℤ/7ℤ.

last edited by David Renshaw at 2026-09-23 15:20:46 UTC · history