01 - Bring a large pot of salted water to a boil. Add the pasta and cook according to package directions until al dente. Reserve 1/2 cup of pasta water before draining.
02 - While pasta cooks, heat olive oil in a skillet over medium heat. Sauté shallot for 2 minutes until translucent, then add garlic and cook 30 seconds until fragrant.
03 - Transfer shallot mixture and oil to a blender. Add chopped beets, heavy cream, Parmesan, lemon zest, lemon juice, salt, and pepper. Blend until completely smooth and silky.
04 - Return sauce to skillet and warm gently over low heat, stirring constantly. Thin with reserved pasta water if needed to achieve desired consistency.
05 - Add drained pasta to the skillet and toss to coat evenly. Adjust seasoning with salt and pepper. Serve immediately topped with fresh basil, additional Parmesan, and cracked black pepper.