curve #5157

y² = x³ − 121x

a-invariants: [0, 0, 0, -121, 0]
c-invariants: [5808, 0]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
families: y² = x³ + ax (quartic twists); y² = x³ − n²x (congruent-number curves)
conductor (N): 3872
discriminant (Δ): 113379904
Faltings height: 0.2350
naive height: 26.0010
primes of bad reduction: 2, 11
regulator: 1
submitted by: hdeping
submitted at: 2026-10-21 05:19:40 UTC
last updated: 2026-10-21 05:19:40 UTC

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