Let $ \sigma \neq{id} \in Aut(\Bbb{C})$ and $E^{ \Bbb σ}$ be galois conjugate of $E$(elliptic curve gained by action of $ \sigma$ to coefficients of $E$).
Then, $E$ and $E^{ \Bbb σ}$ is not isom as algebraic variety over $ \Bbb{C}$ because their $j$ invariant is not the same.
But I heard $E$ and $E^{ \Bbb σ}$ are isom as schemes.
How can I confirm(prove) that fact ?
THank you in advance.