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From the introduction of Ribet-Stein:

Shimura showed that if we start with the elliptic curve $E$ defined by the equation $y^2 +y = x^3 −x^2$ then for “most” $n$ the image of $\rho$ is all of $\mathrm{GL}_2(\mathbf{Z}/n\mathbf{Z})$.

Here $\rho$ is the representation of $\mathrm{Gal}(\overline{\mathbf{Q}}/\mathbf{Q})$ on the $n$-torsion of $E$. What is the original paper where Shimura shows this? (Is there an online copy?)

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up vote 10 down vote accepted

Goro Shimura, A reciprocity law in non-solvable extensions. J. Reine Angew. Math. 221 1966 209--220.

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See also Propriétés galoisiennes des points d'ordre fini des courbes elliptiques. Jean-Pierre Serre Inventiones mathematicae (1971/72) Volume: 15, page 259-331 – Chandan Singh Dalawat Jan 12 '14 at 5:53

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