TY - JOUR
AU - Mascot, Nicolas
AB - We show how our p-adic method to compute Galois representations occurring in the torsion of Jacobians of algebraic curves can be adapted to modular curves. The main ingredient is the use of “moduli-friendly” Eisenstein series introduced by Makdisi, which allow us to evaluate modular forms at p-adic points of modular curves and dispenses us of the need for equations of modular curves and for q-expansion computations in the construction of models of modular Jacobians. The resulting algorithm compares very favourably to our complex-analytic method.
TI - Moduli-friendly Eisenstein series over the p-adics and the computation of modular Galois representations
JF - Research in Number Theory
DO - 10.1007/s40993-022-00329-6
DA - 2022-09-01
UR - https://www.deepdyve.com/lp/springer-journals/moduli-friendly-eisenstein-series-over-the-p-adics-and-the-computation-4py1aONALw
VL - 8
IS - 3
DP - DeepDyve
ER -