2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72886For every point on the Jacobian of the modular curve $X_0(l)$ we define and study certain twisted holomorphic Eisenstein series. These are particular cases of a more general notion of twisted modular forms which correspond to sections on the modular curve $X_1(l)$ of the degree zero twists of line bundles of usual modular forms. We conjecture that a point on the Jacobian is rational if and only if the ratios of these twisted Eisenstein series of the same weights have rational coefficients.19 pages, 1 figureNumber TheoryAlgebraic Geometry11F11text