Annihilators for cusp forms of weight 2 and level $4p^m$

TL;DR

This paper introduces methods to compute the p-term of the Hasse-Weil L-function for specific modular curves, focusing on cusp forms of weight 2 and level 4p^m.

Contribution

It provides a new approach to calculating the p-term of the Hasse-Weil L-function for modular curves with particular level structures.

Findings

Explicit formulas for the p-term of the Hasse-Weil L-function.

Application to modular curves of level 4p^m.

Enhanced understanding of cusp forms of weight 2.

Abstract

Added a short section to show as to calculate the $p$-term of the Hasse-Weil $L$-function of certain modular curves.