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curve #4455

y² = x³ + x² − 625x + 6099

a-invariants: [0, 1, 0, -625, 6099]
c-invariants: [30016, -5449600]
rank (lower bound): ≥ 5
torsion subgroup: trivial
conductor (N): 48012824
discriminant (Δ): -1536410368
Faltings height: 0.5197
naive height: 31.0221
primes of bad reduction: 2, 139, 43177
regulator: 12.5600245176965308168449319256118426722335497412
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:41 UTC
last updated: 2026-10-17 10:24:41 UTC

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

(7, 46)
(11, 26)
(15, 18)
(17, 26)
(19, 38)

Commentary

BASE records/rank_5.md#6 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:41 UTC · history

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