Computing the Cassels–Tate pairing on the 3-Selmer group of an elliptic curve

DOI10.1142/S1793042114500602zbMath1314.11042arXiv1306.1410OpenAlexW2962827589MaRDI QIDQ3191225

Rachel Newton, Tom A. Fisher

Publication date: 30 September 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1410

zbMATH Keywords

elliptic curvesSelmer groupscentral simple algebrasCassels-Tate pairing

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Elliptic curves over local fields (11G07)

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Uses Software

• ecdata

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