Elliptic Curve Rank Leaderboard

← home · all curves · JSON ↓

curve #4436

y² + y = x³ − 28327x + 538836

a-invariants: [0, 0, 1, -28327, 538836]
c-invariants: [1359696, -465554520]
rank (lower bound): ≥ 8
torsion subgroup: trivial
conductor (N): 1329298918250437
discriminant (Δ): 1329298918250437
Faltings height: 1.5935
naive height: 42.3683
primes of bad reduction: 1329298918250437
regulator: 119498.979336016571674867939847181067177058918438564264
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:52 UTC
last updated: 2026-10-17 10:23:52 UTC

Witness: 8 independent points log in to add more points →

(-177, 86)
(-687/4, 4645/8)
(-164, 879)
(-160, 987)
(-158, 1034)
(-129, 1430)
(-32, 1188)
(372, 6440)

Commentary

BASE records/rank_8.md#19 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:52 UTC · history

Log in to edit commentary.