As shown in the figure, the eccentricity of the ellipse is, and the area of the rectangular ABCD surrounded by straight lines is 8.
(i) Find the standard equation of ellipse m;
(ii) Let a straight line and an ellipse m have two different intersections, and a rectangle ABCD has two different intersections. The maximum value and the value of m when finding the maximum value.
Science is also 13.