Modular Symbols

A new modular symbols package was developed by William Stein (Berkeley) as part of his Ph.D. thesis, and redesigned in a recent visit to the Magma group in Sydney.

Features:

• Construction of spaces of modular symbols of given character, level, and weight.
• Computation of Hecke operators.
• Decomposition into invariant subspaces.
• Computation of invariants of modular abelian varieties.
• Determination of modular elliptic curves of a given level.
• Possibility of user reconstruction, verification, and extension of tables of Cremona.