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curve #1789

y² + y = x³ + x² + 5x + 6

a-invariants: [0, 1, 1, 5, 6]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 635
discriminant (Δ): -15875
Faltings height: -0.5084
naive height: 16.6001
primes of bad reduction: 5, 127
regulator: 2.379682107553856219654051226247935075581
submitted by: hdeping
submitted at: 2026-09-25 15:02:35 UTC
last updated: 2026-09-25 15:02:35 UTC

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

(30, 167)

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 08:37:41 UTC · history

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