An explicit family of weight 2 CM Hecke eigenforms is built from hypergeometric data, with exact L-values and Jacobi sum formulas for the Fourier coefficients.
Simple factors of the Jacobian of a Fermat cu rve and the Picard number of a product of Fermat curves
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Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series
An explicit family of weight 2 CM Hecke eigenforms is built from hypergeometric data, with exact L-values and Jacobi sum formulas for the Fourier coefficients.