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curve #2132

y² + y = x³ + x² − 213x + 1128

a-invariants: [0, 1, 1, -213, 1128]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/3ℤ
conductor (N): 1027
discriminant (Δ): -1027
Faltings height: -0.1271
naive height: 27.7022
primes of bad reduction: 13, 79
regulator: 3.466884944078151878391795868944630263936
submitted by: hdeping
submitted at: 2026-09-26 10:39:55 UTC
last updated: 2026-09-26 10:39:55 UTC

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

(36, 203)

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 = -10.

last edited by hdeping at 2026-09-27 08:43:00 UTC · history

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