1. Preheat the oven to 325°F and line the bottom of a 9-inch springform pan with parchment paper.

2. Mix chocolate cookie crumbs with melted butter until evenly moistened, then press firmly into the bottom of the pan.

3. Bake the crust for 10 minutes, then set it aside to cool.

4. Beat the softened cream cheese until smooth and creamy.

5. Add granulated sugar, sour cream, cocoa powder, espresso powder, vanilla extract, and peppermint extract, then mix until smooth.

6. Add the eggs one at a time on low speed, mixing just until combined after each addition.

7. Pour the filling over the cooled crust and smooth the top.

8. Place the springform pan in a water bath or set a pan of hot water on the lower oven rack.

9. Bake for 55 to 65 minutes, until the edges are set and the center still has a slight wobble.

10. Turn off the oven, crack the door open, and let the cheesecake cool inside for 1 hour.

11. Chill the cheesecake in the refrigerator for at least 6 hours or overnight.

12. Heat 1/2 cup heavy cream until steaming, then pour it over the chopped chocolate and stir until glossy.

13. Pour the ganache over the chilled cheesecake and let it drip slightly over the edges.

14. Whip 1 cup heavy cream with powdered sugar until soft peaks form.

15. Decorate the cheesecake with whipped cream, crushed candy canes, and fresh mint leaves before serving.