spaghetti with lemon and olive oil

INGREDIENTS

• 1 pound spaghetti or linguine
• Salt
• 3 lemons
• 1/4 cup extra virgin olive oil , plus additional for serving
• 1/4 cup heavy cream
• 1 ounce finely grated Parmesan cheese (about 1/2 cup), plus additional for serving
• Ground black pepper
• Small handful fresh basil or arugula (what I used, deliciously, in a pinch) leaves, shredded