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Timeline for CM of elliptic curves

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Feb 5, 2010 at 3:53 comment added Emerton The extra endomorphisms of $E$ over $\mathbb C$ are generated by $(x,y)\mapsto (-x,iy).$ This is evidently not defined over ${\mathbb Q}$. To cement the matter, note that it acts on the differential $dx/y$ as multiplication by $i$, which is not in ${\mathbb Q}$.
Feb 4, 2010 at 20:44 comment added natura Thank you Ben! Can you tell me how to verify that End_Q(E)=Z?
Feb 4, 2010 at 18:36 history answered user1073 CC BY-SA 2.5