Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Method for constructing elliptic curves using complex multiplication and
  its optimizations   Elliptic curves over finite fields with predefined conditions in the order
are practically constructed using the theory of complex multiplication. The
stage with longest calculations in this method reconstructs some polynomial
with integer coefficients. We will prove theoretical results and give a
detailed account of the method itself and how one can use a divisor of the
mentioned polynomial with coefficients in some extension of the field of
rational numbers.

32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio