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curve #4480

y² + y = x³ − 1915627x + 625734516

a-invariants: [0, 0, 1, -1915627, 625734516]
c-invariants: [91950096, -540634622040]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 280749843930745706437
discriminant (Δ): 280749843930745706437
Faltings height: 2.6243
naive height: 55.0103
primes of bad reduction: 1013429, 277029613254353
regulator: 1215145.217824330026464408527224059646353530415442761875643
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:50 UTC
last updated: 2026-10-17 10:30:50 UTC

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

(207, -15430)
(1258, -14379)
(1522, 35154)
(-395, 36342)
(-247, -32922)
(1364, 23463)
(323, 6378)
(268, 11471)
(326, 5990)
(1349, -22282)

Commentary

BASE records/rank_10.md#18 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:50 UTC · history

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