Let $\mathfrak{M}(2)$ be the algberaicalgebraic stack over $\mathbb{Z}[1/2]$ which classifies the elliptic curves with the $\Gamma(2)$ level structure and let $M(2)$ be its coarse moduli space. Is there an isomorphism between $M(2)$ and $\mathbb{P}^1_{\mathbb{Z}[1/2]}$?