Kavli Affiliate: Taizan Watari | Summary:For an elliptic curve E over an abelian extension k/K with CM by K of Shimura type, the L-functions of its [k:K] Galois representations are Mellin transforms of Hecke theta functions; a modular parametrization (surjective map) from a modular curve to E pulls back the 1-forms on E to give […]
Continue.. Modular Parametrization as Polyakov Path Integral: Cases with CM Elliptic Curves as Target Spaces