Modular Symbols¶
- Creation of modular symbols spaces
- Space of modular symbols (base class)
- Ambient spaces of modular symbols
- Subspace of ambient spaces of modular symbols
- A single element of an ambient space of modular symbols
- Modular symbols {alpha, beta}
- Manin symbols
- Manin symbol lists
- Space of boundary modular symbols
- Heilbronn matrix computation
- Lists of Manin symbols (elements of \(\mathbb{P}^1(\ZZ/N\ZZ)\)) over \(\QQ\)
- List of coset representatives for \(\Gamma_1(N)\) in \(\SL_2(\ZZ)\)
- List of coset representatives for \(\Gamma_H(N)\) in \(\SL_2(\ZZ)\)
- Relation matrices for ambient modular symbols spaces
- Lists of Manin symbols (elements of \(\mathbb{P}^1(R/N)\)) over number fields
- Monomial expansion of \((aX + bY)^i (cX + dY)^{j-i}\)
- Sparse action of Hecke operators
- Optimized Cython code for computing relation matrices in certain cases
Overconvergent modular symbols¶
- Pollack-Stevens’ Modular Symbols Spaces
- Spaces of Distributions for Pollack-Stevens modular symbols
- Manin Relations for overconvergent modular symbols
- \(p\)-adic \(L\)-series attached to overconvergent eigensymbols
- Manin map
- Element class for Pollack-Stevens’ Modular Symbols
- Quotients of the Bruhat-Tits tree
- Spaces of \(p\)-adic automorphic forms