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Elliptic Modular Curves

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1761)

Abstract

In this chapter we elucidate the basic facts which lead to the Eichler-Shimura formula, and we explain its arithmetical importance. Within this monograph, we can only outline the far-reaching connections. More detailed information may for example be found in [Shim71], [SwBi75] and [Knap92].

Keywords

  • Modular Form
  • Fourier Expansion
  • Cusp Form
  • Modular Function
  • Congruence Subgroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2001 Springer-Verlag Berlin Heidelberg

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(2001). Elliptic Modular Curves. In: Adelmann, C. (eds) The Decomposition of Primes in Torsion Point Fields. Lecture Notes in Mathematics, vol 1761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44949-3_4

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  • DOI: https://doi.org/10.1007/3-540-44949-3_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42035-4

  • Online ISBN: 978-3-540-44949-2

  • eBook Packages: Springer Book Archive