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curve #4475

y² + y = x³ − 11098717x + 35181000996

a-invariants: [0, 0, 1, -11098717, 35181000996]
c-invariants: [532738416, -30396384860760]
rank (lower bound): ≥ 11
torsion subgroup: trivial
conductor (N): 447189586584948275626043
discriminant (Δ): -447189586584948275626043
Faltings height: 3.2250
naive height: 62.0907
primes of bad reduction: 19218019, 23269286318477897
regulator: 17464611.1250945341018692615986295988739100788556831041495306
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:37 UTC
last updated: 2026-10-17 10:30:37 UTC

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

(3046, 172149)
(-2453, 218279)
(-801, -208704)
(-655, -205353)
(1570, -147058)
(446, -174126)
(879, -161569)
(-2049, -222081)
(402, 175454)
(-1312, -217909)
(-271, -195369)

Commentary

BASE records/rank_11.md#16 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:37 UTC · history

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