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curve #1792

y² + y = x³ + x² − 5x + 6

a-invariants: [0, 1, 1, -5, 6]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 715
discriminant (Δ): -17875
Faltings height: -0.4890
naive height: 17.6797
primes of bad reduction: 5, 11, 13
regulator: 1.342074412813212803400776969731411167387
submitted by: hdeping
submitted at: 2026-09-25 15:02:59 UTC
last updated: 2026-09-25 15:02:59 UTC

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

(-2, 3)

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 08:38:31 UTC · history

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