Modular Forms

• Creating Spaces of Modular Forms
• Generic spaces of modular forms
• Ambient Spaces of Modular Forms.
• Modular Forms with Character
• Modular Forms for over
• Modular Forms for over .
• Modular Forms over a Non-minimal Base Ring
• Submodules of spaces of modular forms
• The Cuspidal Subspace
• The Eisenstein Subspace
• Eisenstein Series
• Elements of modular forms spaces.
• Hecke Operators on -expansions
• Numerical computation of newforms
• The Victor Miller Basis
• Ambient Spaces of Modular Forms.
• Compute spaces of half-integral weight modular forms.
• Graded Rings of Modular Forms