Summer Minestrone - Lidia

Ingredients

• 1/2 cup extra-virgin olive oil
• 1 1/2 pounds Yukon Gold potatoes, peeled and cubed
• 2 tablespoons tomato paste
• 2 leeks, white and light-green parts, halved lengthwise and thinly sliced
• 2 carrots, chopped
• 2 stalks celery, chopped
• 2 fresh bay leaves
• 3 ears corn, kernels removed from the cob, cobs reserved and broken in half
• Kosher salt
• Peperoncino flakes
• 2 medium zucchini, chopped
• 2 cups shelled fresh favas (see headnote; frozen peeled favas are okay, too)
• 4 cups loosely packed fresh basil leaves
• 1/4 cup pine nuts, toasted
• 2 garlic cloves, crushed and peeled
• Freshly grated Grana Padano or pecorino, for serving