Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On The Rank Of Congruent Elliptic Curves   In this paper, $p$ and $q$ are two different odd primes. First, We construct
the congruent elliptic curves corresponding to $p$, $2p$, $pq$, and $2pq,$
then, in the cases of congruent numbers, we determine the rank of the
corresponding congruent elliptic curves.

29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: patt-sol