Firstly, I believe that's an oval, not an ellipse (an ellipse is a
circle stretched in one axis). If you had wanted an ellipse, it might
have made sense to use some equations somehow...
There are several solutions.
The easiest, assuming that the points you show are patterned, would be
to create an axis through the pattern leader of the points, then create
a hole on the axis, then reference pattern the axis and then the hole.
Reference patterns are extremely powerful and very useful.
If the points aren't patterned, you could create the first hole and then
copy and paste it onto each point (again, you may need to create an axis
first).
Or you could ignore the points completely, create a semicircle pattern
of holes and a line pattern of holes, and mirror each of these.
HTH,
Jonathan