Preheat your oven to 350 degrees.
In a large bowl, scramble the eggs with the heavy cream using a whisk. Season with salt & pepper.
In a square 8x8 casserole dish, pour the melted butter. Sprinkle the shredded cheese evenly over the butter. Pour the egg mixture over the shredded cheese.
Bake at 350 for 30-40 minutes, or until the middle of the eggs are set.
Let cool 5-10 minutes before slicing. I like to slice into squares and serve between a biscuit as a delicious breakfast sandwich.