2019-09-13 15:13:10 +0200 | received badge | ● Student (source) |
2019-09-12 21:24:52 +0200 | asked a question | How can one find a basis for modular forms with rational Fourier coefficients? How can one find an integral basis of $\mathbb{Q}$-vector space of cuspidal holomorphic modular forms of level $\Gamma_0(p)$ and weight $2$ that have Fourier coefficients in $\mathbb{Q}$? Suchs forms are automatically newforms (because there are no holomorphic modular forms of level $1$ and weight $2$). I am able to find a basis for the space of all cuspidal holomorphic modular forms of level $\Gamma_0(p)$ and weight $2$ (including those that have non-rational Fourier coefficients) using |