curve #1018

y² = x³ + x² − 14624x + 669300

a-invariants: [0, 1, 0, -14624, 669300]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/8ℤ
conductor (N): 336
discriminant (Δ): 3825245233152
Faltings height: 1.2288
naive height: 40.3849
primes of bad reduction: 2, 3, 7
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:16:29 UTC
last updated: 2026-09-23 15:16:29 UTC

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Commentary

Cremona 336d5 = LMFDB 336.d2: https://www.lmfdb.org/EllipticCurve/Q/336/d/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 336, minimal discriminant 3825245233152, torsion ℤ/8ℤ.

last edited by David Renshaw at 2026-09-23 15:16:29 UTC · history