Let $K$ be complete valuation field, and $R$ be it's ring of integers. Then, Elliptic curve is an algebraic variety over field $K$ of dimension $1$. Elliptic curve can be regarded also as scheme over Spec$R$.
Then, what is the dimension of elliptic curve as a scheme over Spec$R$?(I guess that is $2$・・・)
Thank you in advance.