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curve #4481

y² + y = x³ − 1900297x + 554782206

a-invariants: [0, 0, 1, -1900297, 554782206]
c-invariants: [91214256, -479331826200]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 306219504787781099797
discriminant (Δ): 306219504787781099797
Faltings height: 2.6288
naive height: 54.9862
primes of bad reduction: 5362146767, 57107632091
regulator: 1476236.384057494353404106899756302404882215551629107137570
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:52 UTC
last updated: 2026-10-17 10:30:52 UTC

Witness: 10 independent points log in to add more points →

(-1067, 36981)
(-1506, 983)
(-61, 25893)
(-1043, -37446)
(156, 16190)
(296, -4270)
(-1408, -20955)
(-1057, -37182)
(-1347, 25893)
(-1186, -33769)

Commentary

BASE records/rank_10.md#17 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:53 UTC · history

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