A wide range of cropping systems will give high corn yields. Whether or not to rotate crops may depend on the land slope. We don't have all the answers but here's more about these and other crop rotation facts.
Shrader, W. D.; Pesek, John; and Schaller, F. W.
"Crop Rotations - Facts and Fiction,"
Iowa Farm Science: Vol. 16
, Article 3.
Available at: https://lib.dr.iastate.edu/farmscience/vol16/iss9/3