Covering the pot when bringing the liquid to a simmer gets this soup ready even faster.
1. Cook pasta according to package directions, omitting salt and fat.
2. While pasta cooks, heat a large Dutch oven over medium heat. Add 2 teaspoons oil; swirl to coat. Add leeks, celery, 2 teaspoons garlic, and salt; sauté 5 minutes. Add stock, 1 cup water, and thyme. Cover; bring to a boil. Add peas and beans, and simmer, uncovered, 4 minutes. Discard thyme. Stir in pasta and 1 cup spinach.
3. Place 1 cup spinach, basil, cheese, rind, juice, 1 teaspoon garlic, and 2 teaspoons oil in a food processor; process until smooth. Divide soup among 4 bowls; top with pesto.