Abstract
An elliptic curve has complex multiplication (or CM for short) if it has endomorphisms other than the obvious ones given by multiplication by integers.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Shimura, Introduction to the Arithmetic Theory of Auto-morphic Forms, Princeton University Press, Princeton, 1971.
G. Shimura, Abelian varieties with complex multiplication and modular functions, Princeton Mathematical Series 46, Princeton University Press, Princeton, 1999.
J. H. Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics 106, Springer-Verlag, New York 1986.
J. H. Silverman, Advanced topics in arithmetic of elliptic curves, Graduate Texts in Mathematics 151, Springer-Verlag, New York 1994.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Hindustan Book Agency
About this chapter
Cite this chapter
Ghate, E. (2003). Complex Multiplication. In: Bhandari, A.K., Nagaraj, D.S., Ramakrishnan, B., Venkataramana, T.N. (eds) Elliptic Curves, Modular Forms and Cryptography. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-15-6_7
Download citation
DOI: https://doi.org/10.1007/978-93-86279-15-6_7
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-42-5
Online ISBN: 978-93-86279-15-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)