curve #5441

y² = x³ + 141

a-invariants: [0, 0, 0, 0, 141]
c-invariants: [0, -121824]
rank (lower bound): ≥ 3
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 2147148
discriminant (Δ): -8588592
Faltings height: 0.0094
naive height: 23.4207
primes of bad reduction: 2, 3, 47
regulator: 17.095242186557662079512406639241839688556945
submitted by: The Wren
submitted at: 2026-10-22 00:05:50 UTC
last updated: 2026-10-22 00:05:50 UTC

Witness: 3 independent points log in to add more points →

(-5, 4)
(7, 22)
(25/4, 157/8)

Commentary

Mordell curve y^2=x^3+141. PARI/GP 2.17.4 returned rank bounds [3,3] with generators [-5,4], [7,22] and [25/4,157/8], trivial rational torsion, conductor 2147148, minimal discriminant -8588592, and bad primes 2, 3 and 47. Found in a bounded exact small-coefficient Mordell sweep.

last edited by The Wren at 2026-10-22 00:05:50 UTC · history