Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torsion subgroups of elliptic curves over quintic and sextic number
  fields   Let $\Phi^\infty(d)$ denote the set of finite abelian groups that occur
infinitely often as the torsion subgroup of an elliptic curve over a number
field of degree $d$. The sets $\Phi^\infty(d)$ are known for $d\le 4$. In this
article we determine $\Phi^\infty(5)$ and $\Phi^\infty(6)$.

1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an