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curve #2134

y² + y = x³ − 438x + 3528

a-invariants: [0, 0, 1, -438, 3528]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 1755
discriminant (Δ): -1755
Faltings height: 0.0151
naive height: 29.8603
primes of bad reduction: 3, 5, 13
regulator: 5.623494497965827781666690826022352607858
submitted by: hdeping
submitted at: 2026-09-26 10:41:52 UTC
last updated: 2026-09-26 10:41:52 UTC

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

(-158/9, 2044/27)

Commentary

Specialization of the torsion Z/3 family E: y^2+a*x*y+b^3*y=x^3, arising from x/y+y/z+z/x = k with k = -12/1.

last edited by hdeping at 2026-09-27 08:44:52 UTC · history

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