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curve #4473

y² + y = x³ − 43111327x + 110577482226

a-invariants: [0, 0, 1, -43111327, 110577482226]
c-invariants: [2069343696, -95538944643480]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 154155590299449574815563
discriminant (Δ): -154155590299449574815563
Faltings height: 3.2470
naive height: 64.3811
primes of bad reduction: 499, 57305977, 5390869414481
regulator: 10994820.5577648236127660909092968544168970244658192638154258
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:32 UTC
last updated: 2026-10-17 10:30:32 UTC

Witness: 11 independent points log in to add more points →

(-7590, 23387)
(-1009, 391215)
(2389, 145668)
(2698, 117908)
(3337, 62244)
(3558, 47216)
(3835, 40592)
(4327, 71055)
(4436, 81410)
(4849, 124676)
(5626, 214724)

Commentary

BASE records/rank_11.md#36 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:33 UTC · history

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