  Let $p\geq5$ be a prime, we show that a non-pointed modular fusion category
$\mathcal{C}$ is Grothendieck equivalent to
$\mathcal{C}(\mathfrak{sl}_2,2(p-1))_A^0$ if and only if
$\dim(\mathcal{C})=p\cdot u$, where $u$ is a certain totally positive algebraic
unit and $A$ is the regular algebra of the Tannakian subcategory
$\text{Rep}(\mathbb{Z}_2)\subseteq\mathcal{C}(\mathfrak{sl}_2,2(p-1))$. As a
direct corollary, we classify non-simple modular fusion categories of global
dimensions $p^2$.
