Y-Coordinate of a Circle's Center

What is the $y$-coordinate of the center of the circle which passes through the points $ (2, 0) $, $ (-2, -5) $, and $ (-12, 3) $? The answer is in the form $\frac{\alpha}{\beta}$ where $\alpha$ and $\beta$ are coprime positive integers. Input the value of $\alpha + \beta$.