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The complex AGM and periods of elliptic curves over C

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Cremona, J. E. (2009) The complex AGM and periods of elliptic curves over C. In: Théorie des nombres et applications., Marseille, France, 30 Nov-4 Dec 2009 (Unpublished)

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Official URL: http://www.cirm.univ-mrs.fr/liste_rencontre/Rencon...

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Abstract

I will describe a method for computing the period lattice and elliptic logarithms for elliptic curves defined over C, using the complex Arithmetic-Geometric Mean first studied by Gauss, which extends the well-known method for elliptic curves defined over R to the complex case. The resulting algorithms have applications in the study of elliptic curves defined over number
fields.

Item Type: Conference Item (Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Official Date: 3 December 2009
Dates:
DateEvent
3 December 2009Completion
Status: Not Peer Reviewed
Publication Status: Unpublished
Conference Paper Type: Paper
Title of Event: Théorie des nombres et applications.
Type of Event: Conference
Location of Event: Marseille, France
Date(s) of Event: 30 Nov-4 Dec 2009

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