On binary quartics and the Cassels-Tate pairing
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Abstract
We use the invariant theory of binary quartics to give a new formula for the Cassels-Tate pairing on the 2-Selmer group of an elliptic curve. Unlike earlier methods, our formula does not require us to solve any conics. An important role in our construction is played by a certain K3 surface defined by a (2,2,2)-form.
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Research in Number Theory
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2363-9555
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Springer
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