Heat oven to 450º. To make the ranchero sauce, combine the jalapeño, tomatoes, onion and garlic in a blender or food processor. Blend until smooth. Season with salt and pepper to taste. Pour the sauce into a 12-inch ovenproof skillet, stir in the black beans and bring to a simmer over medium heat. Reduce the heat but maintain a simmer and continue cooking for about 10 minutes.

Meanwhile, brush a baking sheet with 1 tablespoon of the oil. Arrange the tortilla strips in a single layer on the baking sheet and brush the tops with the remaining tablespoon of oil. Sprinkle with coarse salt. Bake about 6 minutes, tossing once or twice, until lightly browned and crisp. Set aside. Resist eating them all while cooking the eggs. Not that we had a problem with that.

Once the sauce has thickened slightly, remove the pan from the heat. Carefully crack the eggs over the surface of the sauce, distributing them as evenly as possible. Return the pan to the heat, cover and let simmer gently about 10-12 minutes, until the egg whites are partially but not completely opaque.

While the eggs are cooking, make the crema. Combine the greek yogurt and lime juice in a small bowl and stir to combine. Add salt and pepper to taste. Set aside.

Heat the broiler. Sprinkle the cheese over the top over the eggs and cook until the cheese is browned and bubbling and the egg whites are opaque, just a few minutes. Remove the pan from the oven, add dollops of the lime crema, crumble on the tortilla strips and sprinkle with cilantro. Serve immediately, passing extra crema on the side.