Beat the eggs: Crack the eggs into a bowl. Add a pinch of salt and pepper. Whisk until smooth and slightly frothy; this helps create softer eggs.
Warm the pan: Set a nonstick skillet over medium heat.
Add half the butter and let it melt, coating the surface.
Scramble the eggs: Pour in the eggs. Let them sit a few seconds, then gently push with a spatula, forming soft curds. Cook just until set but still moist.
Slide the eggs to a plate.
Assemble in the pan: Reduce heat slightly. Add the remaining butter. Place the tortilla in the skillet.
Sprinkle half the cheese over one side of the tortilla.
Add the eggs: Spread the scrambled eggs evenly over the cheese. Sprinkle the remaining cheese on top of the eggs. Fold the tortilla in half to cover the filling.
Cook until crisp: Press lightly with a spatula.
Cook 2–3 minutes per side, or until the tortilla is golden and the cheese is melted. Adjust heat so it browns without burning.
Rest and slice: Transfer to a cutting board. Let it rest 1 minute so the cheese sets slightly.
Cut into wedges.
Serve: Enjoy as is, or add salsa, hot sauce, sour cream, or avocado. Eat immediately for the best texture.