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.

Knowl status:
  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2020-01-03 05:35:49
Referred to by:
History: (expand/hide all) Differences (show/hide)