Let $X$ be a elliptic curve over a complete local field.

The definition of semi-abelina reduction is that "If the Neron model of $X$ is a semi-ableian scheme." On the other hand, the definition of semi-stable reduction is that "If the minimal regular model of $X$ is semi-stable."

Dose the two definitions are equivalence for elliptic curves? How to prove it?

Let $X$ be an elliptic curve over a complete local field.

The definition of semi-abelian reduction is: "the Neron model of $X$ is a semi-abelian scheme". On the other hand, the definition of semi-stable reduction is: "the minimal regular model of $X$ is semi-stable."

For elliptic curves, are the two definitions equivalent? How to prove it?