Preheat oven to 325°F (160°C). Lightly grease a 9-inch springform pan.
In a medium bowl, combine the chocolate wafer crumbs and melted butter. Press evenly into the bottom of the prepared pan.
In a large mixing bowl, beat the cream cheese until smooth. Add the sugar and mix well.
Add eggs one at a time, beating after each addition.
Stir in the melted chocolate, espresso, and vanilla extract until fully incorporated.
Pour filling over the crust and smooth the top.
Bake for 55–65 minutes, or until the center is just set.
Run a knife around the edge to loosen. Let cool completely on a wire rack.
Refrigerate at least 4 hours or overnight.
Before serving, drizzle with heavy cream and garnish with chocolate shavings.