show · cmf.galois_orbit all knowls · up · search:

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:
Differences