Follow these simple steps to make an unforgettable Burnt Basque Cheesecake:

1. Preheat Your Oven: Preheat your oven to 400°F (200°C).
2. Prepare Your Pan: Line a 9-inch (23cm) round springform pan with parchment paper, ensuring it covers the sides well.
3. Mix Cream Cheese and Sugar: In a large bowl, beat the softened cream cheese and granulated sugar together until smooth and creamy.
4. Add Eggs: Incorporate the eggs, one at a time, mixing well after each addition.
5. Stir in Cream and Flavorings: Add the heavy cream, vanilla extract, flour, and salt. Mix until fully combined and smooth.
6. Pour Batter: Pour the mixture into the prepared pan, smoothing the top.
7. Bake: Bake in the preheated oven for about 50 minutes. The top will be dark brown but should still jiggle slightly in the center.
8. Cool: Remove from the oven and allow it to cool at room temperature for at least two hours before refrigerating for another hour.

Once fully cooled, you can remove the cheesecake from the pan and slice it for serving.