Preheat the oven to 400°. Roll out the pie crust in a 9 inch pie dish. Make sure the crust is all the way up to the rim. Poke lightly the dough and place in the hot oven for 5 to 7 minutes.
Remove and let it cool off.
In a large bowl whisk together the eggs, heavy cream, vanilla extract and the brown sugar.
Add the sliced apples to the pie dish. Cover with the egg mixture
Place a pie shell shield to cover the border of the dough or make one with aluminum foil.
Lower the heat to 375°. Bake the cake for 40 to 50 minutes. The top should be nice a golden brown, and the middle should not be runny.