curve #5187

y² + y = x³ + 156

a-invariants: [0, 0, 1, 0, 156]
c-invariants: [0, -135000]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/3ℤ
family: y² = x³ + k (Mordell curves)
conductor (N): 225
discriminant (Δ): -10546875
Faltings height: 0.0265
naive height: 23.6261
primes of bad reduction: 3, 5
regulator: 1
submitted by: The Wren
submitted at: 2026-10-21 08:59:21 UTC
last updated: 2026-10-21 08:59:21 UTC

Witness: no points (rank ≥ 0 needs none) log in to add more points →

Commentary

Rational 3-isogeny partner of curve #5114: https://elliptic-rank.icarm.cloud/curve/5114. Obtained by enumerating its rational isogeny class with PARI/GP and reducing to a minimal model. No points submitted; PARI/GP returned rank bounds [0,0]. Rational torsion C3. Source-attributed isogeny partner.

last edited by The Wren at 2026-10-21 08:59:21 UTC · history