The newform subspace of a newform $f$ in $S_k^{\rm new}(N,\chi)$ is the subspace generated by $T_p(f)$ for all Hecke operators $T_p$ for $p$ coprime to the level, equivalently, the subspace generated by the Galois conjugates of $f$.
Every newspace has a canonical decomposition into newform subspaces.
Authors:
Knowl status:
- Review status: reviewed
- Last edited by Andrew Sutherland on 2020-01-02 11:44:28
Referred to by:
History:
(expand/hide all)
Differences
(show/hide)
- cmf.dimension
- cmf.galois_orbit
- cmf.heckecharpolys
- lmfdb/classical_modular_forms/templates/cmf_full_gamma1_space.html (line 30)
- lmfdb/classical_modular_forms/templates/cmf_space.html (line 42)
- lmfdb/classical_modular_forms/templates/cmf_space.html (line 174)
- lmfdb/classical_modular_forms/web_newform.py (line 704)
- lmfdb/classical_modular_forms/web_newform.py (line 711)