Skip to main content
SpringerLink
Log in

Galois representations of octahedral type and 2-coverings of elliptic curves

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [A-B-F] Antoniadis, J., Bungert, M., Frey, G.: Properties of twists of elliptic curves. J. Reine angew. Math.405, 1–28 (1990)

    MATH  MathSciNet  Google Scholar 

  • [B-SD] Birch, B.J., Swinnerton-Dyer, H.P.F.: Notes on elliptic curves. J. Reine Angew. Math.212, 7–25 (1963)

    MATH  MathSciNet  Google Scholar 

  • [Ca] Cassels, J.W.S.: Diophantine equations with special reference to elliptic curves. J. Lond. Math. Soc.41, 193–291 (1966)

    Article  MathSciNet  Google Scholar 

  • [Cr] Crespo, T.: Explicit construction of 2S n -Galois extensions. J. Algebra129, 312–319 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  • [D-S] Deligne, P., Serre, J-P.: Formes modulaires de poids 1. Ann. Sci. Éc. Norm. Suppér.7, 507–530 (1974)

    MATH  MathSciNet  Google Scholar 

  • [Do] Dornhoff, L.: Group representation theory, Part A. New York: Dekker 1971

    Google Scholar 

  • [MF IV] Birch, B.J., Kuyk, W. (eds.), Modular functions of one variable IV. (Lect. Notes Math., vol. 476). Berlin Heidelberg New York: Springer 1975

    MATH  Google Scholar 

  • [Ro] Roquette, P.: Analytic theory of elliptic functions over local fields. (Hamb. Math. Einzelschriften 1) Göttingen: Vandenhoeck und Ruprecht 1970

    MATH  Google Scholar 

  • [Se] Serre, J-P.: L'invariant de Witt de la forme Tr (x 2) Comment. Math. Helv.59, 651–676 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  • [Si] Silverman, J.H.: The arithmetic of elliptic curves. (Grad. Texts Math.) Berlin Heidelberg New York: Springer 1986

    Google Scholar 

  • [Tu] Tunnell, J.: Artin's conjecture for representations of octahedral type. Bull. Am. Math. Soc.5, 173–175 (1981)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Facultat de Matemàtiques, Universitat de Barcelona, E-8007, Barcelona, Spain

    Pilar Bayer

  2. Institut für Experimentelle Mathematik, Universität GHS Essen, W-4300, Essen, Federal Republic of Germany

    Gerhard Frey

Authors
  1. Pilar Bayer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Gerhard Frey
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bayer, P., Frey, G. Galois representations of octahedral type and 2-coverings of elliptic curves. Math Z 207, 395–408 (1991). https://doi.org/10.1007/BF02571397

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571397

Keywords

Search

Navigation