Abstract
We study a special kind of homology cycles of the modular curve X0(N). For a newform of weight 2 for Γ0(N), we construct a p-adic L-function by using these cycles. If the newform is defined over \({\mathbb{Q}}\), this p-adic L-function gives rise to algebraic points of the attached elliptic curve.
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More From: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
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