De Rham-Etale comparison isomorphism for elliptic curves

132 Views Asked by At

I can't find anywhere a proof of the following comparison isomorphishm:

$$H^1_{dR}(E)\otimes \mathbb{C}=H^1_{et}(E)\otimes \mathbb{C}$$

where $E$ is an elliptic curve over $\mathbb{C}$.

Any reference would be appreciated.

On a side note, is the isomorphism true for $n>1$?