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Associated to an open subgroup $G$ of $\GL_2(\Zhat)$ satisfying conditions$-I \in G$ and $\det(G) \subsetneq (\Zhat)^{\times}$ there is a modular curve$X_G$ which is a smooth compact curve defined over an extension of $\Q.$ Inthis article, we give a complete list of all such prime power level genus $0$modular curves with a point.

Genus $0$ Modular curves of prime power level with a point defined over number fields other than $\Q$