Abstract
Let K be an algebraic number field. The function attaching to each elliptic curve over K its conductor is constant on isogeny classes of elliptic curves over K (for the definitions see chapter 1). Moreover, for a given ideal a in OK the number of isogeny classes of elliptic curves over K with conductor a is finite. In these notes we deal with the following problem: How can one explicitly construct a set of representatives for the isogeny classes of elliptic curves over K with conductor a for a given ideal a in OK?
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© 1983 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig
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Laska, M. (1983). Introduction. In: Elliptic Curves over Number Fields with Prescribed Reduction Type. Aspects of Mathematics / Aspekte der Mathematik. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-87599-0_1
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DOI: https://doi.org/10.1007/978-3-322-87599-0_1
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-08569-8
Online ISBN: 978-3-322-87599-0
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