5 point ellipse

Find the unique ellipse that passes through the following 5 points: $A( -1,-1), B(3, 0), C(5, 2), D(1,3), E(-1.5, 2)$ . Compute the sum $S$ of the lengths of its semi-minor and semi-major axes. As your answer, enter $\lfloor 100 S \rfloor$