Meanwhile, mix cream cheese in a large bowl with an electric mixer until smooth. Add sugar and mix well. Add eggs, one at a time, beating batter briefly after each addition. Continue to add ingredients, one at a time, beating after each addition until blended, in this order: sour cream, heavy cream, vanilla extract, and flour. Pour cheesecake batter onto the crust and place carefully into the prepared water bath. The water level should be about 3/4 of the height of the springform pan; adjust as necessary.