Modular Forms (New) [HB 90]

A package for computing with modular forms has been developed by William Stein.

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.
• Computation of all reductions of a newform of given level modulo a prime.
• Embeddings of a newform of given level 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.