Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The even parity Goldfeld conjecture: congruent number elliptic curves   In 1979 Goldfeld conjectured: 50\% of the quadratic twists of an elliptic
curve defined over the rationals have analytic rank zero. In this expository
article we present a few recent developments towards the conjecture, especially
its first instance - the congruent number elliptic curves.

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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an