Place 1 cup of corn along with the jalapeño pepper, onion, garlic, and cilantro into a food processor. Pulse chop the mix until it's minced. Do not process to smooth.
Pour the mix into a large mixing bowl, then add the remaining corn, eggs, cheddar cheese, cornmeal, oregano, salt, pepper, and cumin. Stir to combine. The mix should be sticky thick, but malleable enough to form patties.
In an oiled pan over medium heat, cook the fritter patties approximately 2 minutes per side or until golden brown. Repeat this step until all batter is used.
Serve with sour cream and/or guacamole.