Abstract
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].
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© 1976 Springer-Verlag Berlin Heidelberg
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Lang, S. (1976). Galois Representations. In: Introduction to Modular Forms. Grundlehren der mathematischen Wissenschaften, vol 222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51447-0_11
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DOI: https://doi.org/10.1007/978-3-642-51447-0_11
Publisher Name: Springer, Berlin, Heidelberg
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