The Galois orbit of a newform $f\in S_k^{\rm new}(N,\chi)$ is the finite set \[ [f]:=\{\sigma(f):\sigma\in \mathrm{Gal}(\overline{\Q}/\Q)\} \] of its Galois conjugates, which forms a canonical $\Q$-basis for the corresponding newform subspace.
Galois orbits of newforms are also called newform orbits.
Authors:
Knowl status:
- Review status: reviewed
- Last edited by Andrew Sutherland on 2020-01-03 05:35:49
Referred to by:
History:
(expand/hide all)
- cmf.dimension
- cmf.distinguishing_primes
- cmf.embedding
- cmf.galois_conjugate
- cmf.hecke_galois_orbit
- cmf.hecke_kernels
- cmf.inner_twist
- cmf.label
- cmf.q-expansion
- cmf.trace_bound
- cmf.twist
- cmf.twist_minimal
- cmf.twist_multiplicity
- modcurve.decomposition
- modcurve.rank
- rcs.rigor.cmf
- lmfdb/classical_modular_forms/main.py (line 1338)
- lmfdb/classical_modular_forms/main.py (line 1389)
- 2020-01-03 05:35:49 by Andrew Sutherland (Reviewed)
- 2019-04-25 15:41:18 by David Farmer (Reviewed)
- 2019-01-25 17:23:00 by Andrew Sutherland