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A Survey of the Arithmetic Theory of Elliptic Curves

In: Modular Forms and Fermat’s Last Theorem

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  • Joseph H. Silverman

Abstract

An elliptic curve is a pair (E, O), where E is a smooth projective curve of genus one and O is a point of E. The elliptic curve is said to be defined over the field K if the underlying curve is defined over K and the point O is defined over K.

Suggested Citation

  • Joseph H. Silverman, 1997. "A Survey of the Arithmetic Theory of Elliptic Curves," Springer Books, in: Gary Cornell & Joseph H. Silverman & Glenn Stevens (ed.), Modular Forms and Fermat’s Last Theorem, pages 17-40, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-1974-3_2
    DOI: 10.1007/978-1-4612-1974-3_2
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