Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4450

y² + xy = x³ − x² − 844x + 11764

a-invariants: [1, -1, 0, -844, 11764]
c-invariants: [40521, -9981765]
rank (lower bound): ≥ 6
torsion subgroup: trivial
conductor (N): 9578159194
discriminant (Δ): -19156318388
Faltings height: 0.6879
naive height: 32.2325
primes of bad reduction: 2, 40897, 117101
regulator: 116.44882849389632743289192368860317561727408974513
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:28 UTC
last updated: 2026-10-17 10:24:28 UTC

Witness: 6 independent points log in to add more points →

(-22, 150)
(7, 75)
(8, 70)
(22, 48)
(24, 58)
(26, 70)

Commentary

BASE records/rank_6.md#29 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:28 UTC · history

Log in to edit commentary.