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curve #1798

y² + xy + y = x³ + x² + 2x + 2

a-invariants: [1, 1, 1, 2, 2]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ
conductor (N): 429
discriminant (Δ): -1287
Faltings height: -0.7179
naive height: 14.1278
primes of bad reduction: 3, 11, 13
regulator: 0.6980200032302371763657167149264320141593
submitted by: hdeping
submitted at: 2026-09-25 15:03:54 UTC
last updated: 2026-09-25 15:03:54 UTC

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

(0, 1)

Commentary

Found in a low-height lattice sweep of y^2 = x^3 + a2*x^2 + a4*x.

last edited by hdeping at 2026-09-27 08:37:09 UTC · history

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