Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finding rational points on elliptic curves using 6-descent and
  12-descent   We explain how recent work on 3-descent and 4-descent for elliptic curves
over Q can be combined to search for generators of the Mordell-Weil group of
large height. As an application we show that every elliptic curve of prime
conductor in the Stein-Watkins database has rank at least as large as predicted
by the conjecture of Birch and Swinnerton-Dyer.

16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin