Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the Cassels-Tate pairing on the 3-Selmer group of an elliptic
  curve   We extend the method of Cassels for computing the Cassels-Tate pairing on the
2-Selmer group of an elliptic curve, to the case of 3-Selmer groups. This
requires significant modifications to both the local and global parts of the
calculation. Our method is practical in sufficiently small examples, and can be
used to improve the upper bound for the rank of an elliptic curve obtained by
3-descent.

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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph