Preheat the oven to 375 degrees F and grease a cake pan. You can even use a cast iron skillet here by greasing it properly.

Mix the cornmeal, salt, baking powder, and sugar in a bowl. Add the oil, eggs, and buttermilk to the center of your dry mixture. Whisk it until there is no dry mixture left.

Fold the cheese and jalapenos and bake them for 40-45 minutes.

To ensure it is done, check it with the help of a toothpick. If it comes out clean, it is done. Cool it before serving at room temperature.