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curve #4440

y² + y = x³ + x² − 3480x − 2610

a-invariants: [0, 1, 1, -3480, -2610]
c-invariants: [167056, 1252520]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 2697095553797
discriminant (Δ): 2697095553797
Faltings height: 1.0747
naive height: 36.0783
primes of bad reduction: 2697095553797
regulator: 1716.717470380376045790082711849640032606573374661754
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:03 UTC
last updated: 2026-10-17 10:24:03 UTC

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

(-57, 117)
(-55, 159)
(-46, 249)
(-13, 201)
(59, 30)
(60, 90)
(76, 421)

Commentary

BASE records/rank_7.md#12 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:03 UTC · history

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