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For every elliptic curve over $\Q$ of conductor $N$, there is a unique weight $2$ newform for $\Gamma_0(N)$ with the same L-function. This was proved by Breuil, Conrad, Diamond, and Taylor, building on the proof of Fermat's last theorem by Wiles and Taylor-Wiles.

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• Review status: reviewed
• Last edited by John Jones on 2018-06-19 20:20:53
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