This is one of the six possible cases for the image of the mod $p$ Galois Representation if $p$ is a non-surjective prime for $E$.

The label **Nn** means that $G$ is contained in the normalizer of the nonsplit Cartan subgroup but not in the nonsplit Cartan subgroup itself.

The label **Nn.a.b** denotes the subgroup of the normalizer of the nonsplit Cartan subgroup generated by
\[
\begin{pmatrix}a&rb\\b&a\end{pmatrix}, \begin{pmatrix}1&0\\0&-1\end{pmatrix}.
\]
where $r$ be the least positive integer that generates $\F_p^*$.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by John Jones on 2018-06-19 18:51:41

**Referred to by:**

Not referenced anywhere at the moment.

**History:**(expand/hide all)

- 2018-06-19 18:51:41 by John Jones (Reviewed)