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A Survey of the Arithmetic Theory of Elliptic Curves

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Modular Forms and Fermat’s Last Theorem

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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.

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References

  1. J.W.S. Cassels, Lectures on Elliptic Curves, Student Texts 24, London Mathematical Society, Cambridge University Press, 1991.

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Authors
  1. Joseph H. Silverman
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Editors and Affiliations

  1. Department of Mathematics, University of Connecticut, Storrs, CT, 06268, USA

    Gary Cornell

  2. Department of Mathematics, Brown University, Providence, RI, 02912, USA

    Joseph H. Silverman

  3. Department of Mathematics, Boston University, Boston, MA, 02215, USA

    Glenn Stevens

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© 1997 Springer Science+Business Media New York

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Silverman, J.H. (1997). A Survey of the Arithmetic Theory of Elliptic Curves. In: Cornell, G., Silverman, J.H., Stevens, G. (eds) Modular Forms and Fermat’s Last Theorem. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1974-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-1974-3_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-98998-3

  • Online ISBN: 978-1-4612-1974-3

  • eBook Packages: Springer Book Archive

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