Preheat oven at 180°C/350°F. Grease and flour a springform pan.
In a large bowl, mix eggs, oil, yogurt, sugar, lemon zest and juice. Add the sifted flour and baking powder. Mix well, add poppy seeds and mix to combine.
Pour into the prepared pan and bake for 45-50 minutes, or until a toothpick inserted in the center comes out clean. Let it cool for a few minutes and turn out onto a wire rack.