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curve #4476

y² + xy = x³ − x² − 16935151x + 35586657241

a-invariants: [1, -1, 0, -16935151, 35586657241]
c-invariants: [812887257, -30743213863581]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 118055824521158268588478
discriminant (Δ): -236111649042316537176956
Faltings height: 3.1920
naive height: 62.1134
primes of bad reduction: 2, 117431, 553211, 908623273979
regulator: 10286486.1902425140100038530202602311736083304511303924649353
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:40 UTC
last updated: 2026-10-17 10:30:40 UTC

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

(904, 144515)
(386, -170801)
(-710, -217021)
(1699, -109090)
(3161, 115174)
(-1724, -243385)
(2724, 96935)
(18451/4, 1867933/8)
(-198, 197411)
(2820, -102649)
(2344, -94795)

Commentary

BASE records/rank_11.md#17 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:40 UTC · history

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