Preheat oven to 425° F.

Heat a large skillet over medium heat. Add butter and let melt. While skillet heats, crack the eggs into a bowl. Season with pinches of salt and pepper. Whisk until the yolks are broken and well blended. Pour into the pan and stir gently, allowing the uncooked egg to flow underneath the cooked egg, until cooked completely through, about 4 minutes. Remove from heat.

Meanwhile, slice each English muffin in half. Place on a baking sheet. Brush with olive oil. Bake for 6 minutes, or until lightly toasted.

Remove from oven and top with eggs, cheese, and any optional toppings.

Return to oven and bake until the cheese melts, about 4-6 minutes.

Serve immediately.