curve #981

y² = x³ + x² + 2x + 1

a-invariants: [0, 1, 0, 2, 1]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/3ℤ
conductor (N): 92
discriminant (Δ): -368
Faltings height: -0.8193
naive height: 13.1461
primes of bad reduction: 2, 23
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:10:04 UTC
last updated: 2026-09-23 15:10:04 UTC

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

Commentary

Cremona 92a1 = LMFDB 92.b2: https://www.lmfdb.org/EllipticCurve/Q/92/b/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 92, minimal discriminant -368, torsion ℤ/3ℤ.

last edited by David Renshaw at 2026-09-23 15:10:04 UTC · history