Place all the ingredients except for the cream and Parmesan into a slow cooker. Cook on low for 5-7 hours. The veggies should be soft enough to puree at this point.
Using an immersion blender or upright blender puree the soup. Add the cream and adjust seasoning. Heat to serve. If desired add a sprinkle of fresh grated Parmesan.
Nutrition calculation is an estimation only. If you need nutritional calculations for medical reasons, please use a source that you trust.