Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersingular distribution on average for congruence classes of primes   We demonstrate the existence of a congruence class bias in the distribution
of supersingular primes on average for elliptic curves over $\Q$. For example,
we show that on average there are twice as many supersingular primes congruent
to 2 mod 3 as there are congruent to 1 mod 3. Our result is obtained using the
averaging approach of Fouvry-Murty along with ideas of David-Pappalardi.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th