Abstract
Let C be an elliptic curve over Q. Let N be the conductor of C. The Taniyama conjecture asserts that there is a non-constant map of algebraic curves X 0 (N) — C which is defined over Q. Here, X o (N) is the standard modular curve associated with the problem of classifying elliptic curves E together with cyclic subgroups of E having order N.
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Ribet, K.A. (2004). Abelian Varieties over Q and Modular Forms. In: Cremona, J.E., Lario, JC., Quer, J., Ribet, K.A. (eds) Modular Curves and Abelian Varieties. Progress in Mathematics, vol 224. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7919-4_15
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