Tomato-Free Tortelloni Minestrone

Ingredients

• 3 tablespoons garlic-flavored oil
• leaves from a few sprigs of thyme, or 1 teaspoon dried thyme
• 3 cups frozen petits pois
• 2 leeks, halved lengthwise and thinly sliced
• 1 baking potato, peeled and finely diced
• 1 stalk celery, finely diced
• 2 large zucchini, half-peeled and finely diced
• 8 ounces green beans, trimmed and cut into short lengths
• 8 cups cold water
• 2 teaspoons kosher salt, or to taste
• 2 15-ounce cans cannellini or flageolet beans, drained and rinsed
• 1 pound fresh spinach-and-ricotta tortelloni
• leaves from a small bunch of basil
• 2 tablespoons grated parmesan