Grease a box mould (approx. 1 3/4 l capacity; approx. 30 cm long) and dust with flour. Peel garlic and chop finely. Wash and clean the zucchini. Grate cheese and zucchini.
Preheat oven (electric cooker: 175°C/circulating air: 150°C/ gas: level 2). Mix eggs, crème fraîche and oil with the whisk of the hand mixer until creamy. Add flour, baking powder, approx. 2 tsp salt, approx. 1/2 tsp pepper, zucchini and cheese and sieve over the mixture.
Pour into the tin and bake in a hot oven for 1-1 1/4 hours. Let the cake cool in the tin for about 10 minutes, then turn it over. Serve cake warm or cold. Serve with crème fraîche and coarse pepper.