Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4453

y² + y = x³ + x² − 142x + 182

a-invariants: [0, 1, 1, -142, 182]
c-invariants: [6832, -198424]
rank (lower bound): ≥ 5
torsion subgroup: trivial
conductor (N): 161759189
discriminant (Δ): 161759189
Faltings height: 0.2676
naive height: 26.4881
primes of bad reduction: 161759189
regulator: 32.1894776546261190550318317974434764469285820987
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:35 UTC
last updated: 2026-10-17 10:24:35 UTC

Witness: 5 independent points log in to add more points →

(-10, 26)
(-4, 26)
(-2, 21)
(1, 6)
(11, 8)

Commentary

BASE records/rank_5.md#19 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:35 UTC · history

Log in to edit commentary.