Resultants and discriminants of multiplication polynomials for elliptic curves

Schmidt, Harry. (2015) Resultants and discriminants of multiplication polynomials for elliptic curves. Journal of Number Theory, 149. pp. 70-91.

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Official URL: http://edoc.unibas.ch/dok/A6381819

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In this article, we prove that the resultant of the standard multiplication polynomials An, Bn of an elliptic curve in the form y2=x3+ax+b is , where Δ=−(4a3+27b2) is the discriminant of the curve. We give an application to good reduction of an associated Lattès map. We also prove a similar result for the discriminant of the largest squarefree factor of Bn.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik
UniBasel Contributors:Schmidt, Harry
Item Type:Article, refereed
Article Subtype:Research Article
Bibsysno:Link to catalogue
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:09 Oct 2017 06:58
Deposited On:03 Jul 2015 08:53

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