# Modular Forms#

## Module List#

- Creating Spaces of Modular Forms
- Generic spaces of modular forms
- Ambient Spaces of Modular Forms
- Modular Forms with Character
- Modular Forms for \(\Gamma_0(N)\) over \(\QQ\)
- Modular Forms for \(\Gamma_1(N)\) and \(\Gamma_H(N)\) over \(\QQ\)
- Modular Forms over a Non-minimal Base Ring
- Submodules of spaces of modular forms
- The Cuspidal Subspace
- The Eisenstein Subspace
- Eisenstein Series
- Eisenstein Series (optimized compiled functions)
- Elements of modular forms spaces
- Hecke Operators on \(q\)-expansions
- Numerical computation of newforms
- The Victor Miller Basis
- Compute spaces of half-integral weight modular forms
- Graded rings of modular forms
- q-expansion of j-invariant
- q-expansions of Theta Series