Grease a springform pan (26 cm Ø) and dust with flour. Peel, wash and finely grate the carrots. Grate cheese finely. Preheat the oven (electric cooker: 175 °C/circulating air: 150 °C/gas: see manufacturer).
Mix the eggs, crème fraîche and olive oil with the whisk of the mixer. Mix flour, starch and baking powder. Sieve onto the egg mixture. Season with approx. 1 1⁄2 tsp salt, approx. 1 tsp pepper and approx. 1 tsp paprika and stir everything in briefly.
Fold in carrots and cheese. Smooth the dough in the form. Bake in the oven for 50-60 minutes.
Remove Carrot Cake from the oven and let it cool down a little. In the meantime, wash the chives, shake them dry and cut them into small rolls. Remove Carrot Cake from the tin and cut into pieces. Serve with sour cream and chives.
Merguez sausages (spicy lamb bratwurst sausages), for example, taste good with it.