Canon's web page is here:
http://www.usa.canon.com/cusa/professional/products/professional_cameras/cinema_eos_cameras/eos_1d_cNote that this is grouped with "professional cameras" and is in a different category to normal DSLRs as far as Canon is concerned.
But it appears Canon wants you to pay another $9000 to buy the 1D_C rather than the 1DX if you're serious about video for what seems to be almost the same body/sensor.