Combine cream cheese, sour cream, and sugar in a large bowl or food processor. Blend with an immersion blender or food processor until completely smooth.
Add vanilla extract, eggs, and egg yolks. Blend gently until incorporated.
Add heavy cream and blend briefly until the batter is silky and uniform.
Pour batter into prepared pan and smooth the surface.
Bake for 55-70 minutes, until the edges are set and the center still slightly jiggles.
Turn off oven, crack the door, and allow cheesecake to cool slowly for one hour.
Refrigerate at least 4 hours, preferably overnight, before serving.