In a large mixing bowl or the bowl of a stand mixer, beat together the cream cheese and sugar until smooth and combined, about 2 to 3 minutes on medium speed.
Mix in the sour cream and vanilla extract and continue beating, just until smooth. Do not overmix.
Add the eggs, one at a time, mixing on low speed or with a spoon just until incorporated. Do not overmix.
Stir in flour and heavy cream just until combined.
Remove the crust from the freezer and remove the plastic wrap.
Pour the cheesecake filling into the crust. Gently tap the springform pan on the counter several times to bring any bubbles to the surface. Continue tapping gently until all of the bubbles have popped. If you have any stubborn bubbles, use the tip of a knife to pop them.
Cover the top of the pan with a paper towel. Make sure the paper towel is long enough that it can be wrapped under the pan. Note, the paper towel should not be touching the cheesecake. (The paper towel will absorb any excess moisture.) Cover the cheesecake loosely with aluminum foil, using the foil to keep the paper towel in place.
Create a foil sling for the instant pot by folding heavy duty foil into two strips about 18 inches long. Place the two strips crosswise (they should form an X) underneath the cheesecake and then use the sling to lower the cheesecake into the instant pot. (Slings are really useful with instant pots so consider purchasing a silicone sling.)