Step 1

In a small skillet, melt 1 tablespoon of the butter over moderate heat. Add the scallions and chiles and cook until softened, about 5 minutes. Add the lemon juice and zest and season with salt and pepper. Transfer to a small bowl and gently mix in the crabmeat.

Step 2

Crack the eggs into a medium bowl and lightly beat them. Whisk in the dill and season with salt and pepper.

Step 3

In two 8-inch nonstick skillets or omelet pans, melt the remaining 2 tablespoons of butter over moderate heat. Pour half of the egg mixture into each skillet. Cook, tilting the pans and drawing in the edges of the omelets with a spatula as they set to allow the uncooked eggs to seep underneath, about 5 minutes. Spoon the crab over half of each omelet. Fold the omelets over, then slide them onto plates. Cut each omelet in half, sprinkle with cilantro and serve.