curve #929

y² + xy + y = x³ − 16x + 22

a-invariants: [1, 0, 1, -16, 22]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/3ℤ
conductor (N): 38
discriminant (Δ): -152
Faltings height: -0.6134
naive height: 19.8408
primes of bad reduction: 2, 19
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:02:30 UTC
last updated: 2026-09-23 15:02:30 UTC

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Commentary

Cremona 38a3 = LMFDB 38.a2: https://www.lmfdb.org/EllipticCurve/Q/38/a/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 38, minimal discriminant -152, torsion ℤ/3ℤ.

last edited by David Renshaw at 2026-09-23 15:02:31 UTC · history