Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prime Torsion in the Brauer Group of an Elliptic Curve   We give an algorithm to determine generators and relations of the $q$-torsion
(for $q$ an odd prime) of the Brauer group of an elliptic curve over any base
field of characteristic $\neq 2, 3, q$, containing a primitve $q$-th root of
unity. Furthermore, we give an explicit description of generators and relations
of the general $d$-torsion of the Brauer group of the elliptic curve $E$
assuming that the $d$-torsion of $E(\overline{k})$ is rational over the base
field. These generators are symbol algebras and the relations arise as their
tensor products. Using our algorithm, we derive an upper bound on the symbol
length of the prime torsion of $\text{Br}(E)/\text{Br}(k)$.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn