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curve #4442

y² + y = x³ − 3829x + 45480

a-invariants: [0, 0, 1, -3829, 45480]
c-invariants: [183792, -39294936]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 2699253317989
discriminant (Δ): 2699253317989
Faltings height: 1.0815
naive height: 36.3647
primes of bad reduction: 34141, 79061929
regulator: 1498.241576628101649608649115541518412180060728618541
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:08 UTC
last updated: 2026-10-17 10:24:08 UTC

Witness: 7 independent points log in to add more points →

(-12, 299)
(-64, 168)
(10, 90)
(67, 299)
(12, 35)
(55, 35)
(-15, -316)

Commentary

BASE records/rank_7.md#14 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:08 UTC · history

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