Preheat your oven to 375°F (190°C). Grease a madeleine pan with butter and lightly flour it.

In a bowl, whisk eggs and sugar together until smooth and fluffy.

Add vanilla extract and heavy cream, mixing until combined.

Sift flour, baking powder, and salt into the bowl. Gently fold the dry ingredients into the wet mixture.

Stir in the melted butter until the batter is smooth and well combined.

Spoon the batter into the madeleine pan, filling each mold about 3/4 full.

Bake for 12-15 minutes, or until the edges are golden brown and the tops spring back when touched.

Let the madeleines cool for a few minutes before removing them from the pan. Enjoy warm or at room temperature.