Hi,

the axis of the ellipse lie on the coordinate-axis. The center of the ellipse is the origin of the coordinate system. The major axis a is situated on the y-axis, the minor axis b lies on the x-axis.

the length of the major axis is:

the length of the minor axis is:

The foci lie on the y-axis. Let e be the distance of a focus from the center, then you calculate e by:

Plug in the values you know. You get

Oops, sorry, I forgot to calculate the vertices:

You already know the length of axis. So I think it is no problem for you to get the coordinates of the vertices. For confirmation only:

EB