Modular Forms

The modular forms package provides the following features:

• Computation of a basis of modular forms on $\Gamma_1(N)$ of any integer weight greater than one
• Computation of all newforms of given level, all of their reductions modulo a prime, and their embeddings in the complex and p-adic fields
• Arithmetic with modular forms
• Characteristic polynomials of Hecke operators
• Decomposition into Eisenstein, cuspidal, and new subspaces
• Dimension formulas