Galois Representations

  • Serge Lang
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 222)


Perhaps the most fascinating connection between modular forms and number theory is the way in which they are connected with the existence of non-abelian extensions. Shimura [Sh 3] first established a connection between coefficients of certain modular forms, and the traces of Frobenius elements in extensions K of Q whose Galois group has a representation in GL 2 (F 1 ), and K is the field of l-division points of the curve X0(11), or in the Jacobian of X 1 (N), Theorem 7.14 of [Sh 2].


Conjugate Classis Modular Form Elliptic Curve Galois Group Irreducible Character 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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