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curve #4445

y² + xy + y = x³ − x² − 372x + 5700

a-invariants: [1, -1, 1, -372, 5700]
c-invariants: [17841, -4844745]
rank (lower bound): ≥ 6
torsion subgroup: trivial
conductor (N): 10296725093
discriminant (Δ): -10296725093
Faltings height: 0.6114
naive height: 30.7868
primes of bad reduction: 113, 91121461
regulator: 192.08838559457102464396362069998941846758891848738
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:15 UTC
last updated: 2026-10-17 10:24:15 UTC

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

(-7, 92)
(6, 57)
(8, 52)
(9, 50)
(16, 52)
(26, 101)

Commentary

BASE records/rank_6.md#14 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:16 UTC · history

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