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Representation Defects and Cassels Pairings for Congruent Number Curves: Rédei Symbols and Governing Fields
Using BSD results for CM elliptic curves, we relate Qin's quadratic form representation defects to the Cassels pairing on the pure $2$-Selmer group of a congruent number elliptic curve. When the pure $2$-Selmer dimension is even, we prove that the normalized representation defect modulo $2$ is the P
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