Computing Galois representations of modular abelian surfaces

作者:Zeng Jinxiang*
来源:LMS Journal of Computation and Mathematics, 2014, 17(A): 36-48.
DOI:10.1112/S1461157014000205

摘要

Let f is an element of S-2(Gamma(0)(N)) be a normalized newform such that the abelian variety A(f) attached by Shimura to f is the Jacobian of a genus-two curve. We give an efficient algorithm for computing Galois representations associated to such newforms.