Boil the chickpeas and let them cool.
Preheat the oven to 180°C (356°F).
Put the boiled chickpeas, lemon juice, lemon zest, sugar, eggs, and olive oil into a blender and blend until smooth.
Sift cake flour, baking powder, and salt, then add to the mixture and combine.
Pour the batter into a pan and smooth out the surface.
Bake in the preheated oven at 180°C (356°F) for 30 minutes.
Let it cool, then sprinkle powdered sugar on top if desired.