Abstract
Let C be a smooth plane cubic curve with Jacobian E. We give a formula for the action of the 3-torsion of E on C, and explain how it is useful in studying the 3-Selmer group of an elliptic curve defined over a number field.
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Fisher, T. (2006). Testing Equivalence of Ternary Cubics. In: Hess, F., Pauli, S., Pohst, M. (eds) Algorithmic Number Theory. ANTS 2006. Lecture Notes in Computer Science, vol 4076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11792086_24
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DOI: https://doi.org/10.1007/11792086_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-36075-9
Online ISBN: 978-3-540-36076-6
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