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Place a rack in the center of the oven and heat the oven to 400 degrees. Grease a 10-inch springform pan and line with parchment paper, leaving 2 to 3 inches overhanging the top of the pan.
In a large bowl, using a handheld mixer or in the bowl of a stand mixer fitted with the paddle attachment, cream the sugar and cream cheese until smooth. (This can be done by hand as well; beat with a wooden spoon for about 5 minutes.)
Add the salt and mix.
Add the eggs one by one and beat until fully incorporated.
Beat in the cream.
Sift in the flour, then mix it in on low.
Pour the batter into the prepared pan and bake until browned and almost burnt on top, 50 to 60 minutes. The center will still be quite jiggly. Remove the cake from the oven and cool completely on a rack. It will have risen significantly, nearly past the top of the pan, but it will sink in the center as it cools.
Before serving, remove the rim of the springform and gently tug away the parchment paper. Serve at room temperature.