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curve #4446

y² + y = x³ − 4657x + 122436

a-invariants: [0, 0, 1, -4657, 122436]
c-invariants: [223536, -105784920]
rank (lower bound): ≥ 6
torsion subgroup: trivial
conductor (N): 11994046523
discriminant (Δ): -11994046523
Faltings height: 0.8501
naive height: 36.9538
primes of bad reduction: 1669, 7186367
regulator: 3700.5847143019736555751277852845211781826313885232
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:18 UTC
last updated: 2026-10-17 10:24:18 UTC

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

(-78, 105)
(-77, 156)
(-71, 308)
(-69, 339)
(-38, 494)
(-9, 404)

Commentary

BASE records/rank_6.md#38 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:18 UTC · history

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