01 - Set oven to 400°F for roasting the vegetables.
02 - Arrange beet cubes, garlic cloves, and shallot quarters on a baking sheet. Drizzle with olive oil and sprinkle with 1/4 teaspoon salt. Toss thoroughly to coat evenly.
03 - Roast vegetables for 25 to 30 minutes until beets are fork-tender and fragrant.
04 - Bring a large pot of generously salted water to boil. Cook pasta according to package directions until al dente. Before draining, reserve 1/2 cup of starchy pasta water. Drain pasta thoroughly.
05 - Transfer roasted beets, garlic, and shallot to blender. Add heavy cream, Parmesan cheese, butter, lemon zest, and lemon juice. Blend until completely smooth, adding reserved pasta water as needed to achieve silky consistency. Season with remaining salt and pepper.
06 - Return drained pasta to cooking pot. Pour beet cream sauce over pasta and toss vigorously until every piece is evenly coated. Warm over low heat for 1 to 2 minutes if needed. Serve immediately topped with fresh basil and additional Parmesan.