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curve #1793

y² + y = x³ + x² + 7x + 12

a-invariants: [0, 1, 1, 7, 12]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 1267
discriminant (Δ): -62083
Faltings height: -0.3957
naive height: 18.1265
primes of bad reduction: 7, 181
regulator: 2.106121749815870028568147433459305756022
submitted by: hdeping
submitted at: 2026-09-25 15:03:06 UTC
last updated: 2026-09-25 15:03:06 UTC

Witness: 1 independent point log in to add more points →

(6, 17)

Commentary

Found in a low-height lattice sweep of the Tate X_1(3) form y^2 + a1*x*y + a3*y = x^3.

last edited by hdeping at 2026-09-27 08:38:47 UTC · history

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