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curve #1796

y² = x³ + x² + 2x

a-invariants: [0, 1, 0, 2, 0]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ
conductor (N): 224
discriminant (Δ): -448
Faltings height: -0.8038
naive height: 13.1461
primes of bad reduction: 2, 7
regulator: 0.7870964593822492416095047470227072083965
submitted by: hdeping
submitted at: 2026-09-25 15:03:29 UTC
last updated: 2026-09-25 15:03:29 UTC

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

(1, 2)

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 08:36:20 UTC · history

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