Preheat the oven to 375°F (190°C). Grease and line a jelly roll pan with parchment paper.
Beat the eggs and sugar together until light and fluffy.
Gently fold in the flour and cocoa powder until just combined.
Spread the batter evenly in the prepared pan.
Bake for 12-15 minutes until the cake springs back when touched.
Invert the cake onto a powdered sugar-dusted towel and peel off the parchment.
Roll the cake with the towel and let it cool completely.
Prepare the filling by whipping cream with powdered sugar and vanilla.
Unroll the cooled cake and spread the filling evenly.
Roll the cake back up without the towel and refrigerate until set.