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Preheat the oven to 375°F.
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Lightly grease an oblong 9 x 11 baking pan or coat with cooking spray.
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In a large mixing bowl, combine the cornmeal, salt, sugar, and baking soda. Stir in the cheese, corn, jalapeños, buttermilk and eggs, just enough to blend. Stir in the melted butter.
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Pour the batter into the pan and bake for 30-35 minutes, or until the cornbread is golden and an inserted toothpick comes out clean.
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Remove from the oven and let cool in the pan 15 minutes then cool on wire rack.