Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wild Galois Representations: Elliptic curves over a $3$-adic field   Given an elliptic curve $E$ over a local field $K$ with residue
characteristic $3$, we investigate the action of the absolute Galois group of
$K$ in the case of potentially good reduction. In particular the only not
completely known case is that of the $\ell$-adic Galois representation attached
to an elliptic curve such that the image of inertia is non-cyclic, and
isomorphic to $C_3 \rtimes C_4$. In this work we describe such a representation
explicitly.

5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th