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Abstract

The aim of this Chapter is to give a brief survey of results, essentially without proofs, about elliptic curves, class groups and complex multiplication. No previous knowledge of these subjects is required. Some excellent references are listed in the bibliography. The basic general reference books are (Borevitch and Shafarevitch 1966), (Shimura 1971A), (Silverman 1986). In addition the algorithms and tables in (Birch and Kuyk 1975) are invaluable.

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© 1992 Springer-Verlag Berlin Heidelberg

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Cohen, H. (1992). Elliptic Curves. In: Waldschmidt, M., Moussa, P., Luck, JM., Itzykson, C. (eds) From Number Theory to Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02838-4_3

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  • DOI: https://doi.org/10.1007/978-3-662-02838-4_3

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  • Print ISBN: 978-3-642-08097-5

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