Cook the pasta in 3-4 l boiling salted water (approx. 1 teaspoon salt per litre) according to the instructions on the packet. Grate the parmesan. Peel garlic and chop finely. Boil the eggs in boiling water for about 5 minutes until soft.
Melt the butter in a large pan. Sauté the garlic in it. Add 5-6 tablespoons of pasta water. Drain the noodles. Add frozen peas and 3/4 parmesan to the pan. Season with salt and pepper.
Mix everything well and stir-fry for 2-3 minutes.
In the meantime, quench and peel the eggs. Arrange the noodles on four plates. Sprinkle with the rest of the parmesan and place the eggs on top. Tear a little bit so that the yolk comes out. Garnish with basil.