Defrost the peas. Cook the pasta in boiling salted water according to the instructions on the packet. In the meantime, boil eggs in boiling water for about 5 minutes. Melt butter in a pan. Drain the noodles and add to the hot butter with the peas.
Sprinkle with about 3/4 of the Parmesan cheese, swing through, season with salt and pepper. Drain the eggs, quench and peel. Arrange pasta and egg on preheated plates, sprinkle with remaining parmesan and garnish with basil.