Let $E/ \Bbb{Q}: y^2=x^3＋x$ has CM(complex multiplication) over $ \Bbb{Q}( \sqrt{-1})$.
Let $p$ be a prime number. Let it's reduction by $p$ be $E/ \Bbb{F}_p:y^2=x^3＋x$.
$E/ \Bbb{F}_7$ is supersingular because $ \sharp E[\Bbb{F}_7]=8$, and $E/ \Bbb{F}_5$ is turned out to be ordinary by counting rational points.
My question is, what is an example of elliptic curve $E'/ \Bbb{C}$ without CM($E'/ \Bbb{C}$ does not accept CM structure) whose rediction mod $p$,$E'/ \Bbb{ \overline{F_p}}$ is supersingular?