### Navigation

- index
- modules |
- next |
Sage Reference Manual »
- Arithmetic Subgroups of ${\rm SL}_2({\bf Z})$ »

# Arithmetic Subgroups of \({\rm SL}_2({\bf Z})\)

This chapter describes the basic functionality for finite index subgroups of the modular group \({\rm SL}_2(\ZZ)\).

- Arithmetic subgroups (finite index subgroups of \({\rm SL}_2(\ZZ)\))
- Arithmetic subgroups defined by permutations of cosets
- Elements of Arithmetic Subgroups
- Congruence arithmetic subgroups of \({\rm SL}_2(\ZZ)\)
- Congruence Subgroup \(\Gamma_H(N)\)
- Congruence Subgroup \(\Gamma_1(N)\)
- Congruence Subgroup \(\Gamma_0(N)\)
- Congruence Subgroup \(\Gamma(N)\)
- The modular group \({\rm SL}_2(\ZZ)\)
- Farey Symbol for arithmetic subgroups of \({\rm PSL}_2(\ZZ)\)
- Cython helper functions for congruence subgroups

# Indices and Tables

- Index
- Module Index
- Search Page

### Navigation

- index
- modules |
- next |
Sage Reference Manual »
- Arithmetic Subgroups of ${\rm SL}_2({\bf Z})$ »