When Khan first defeats Admiral Kirk, he asks about Project Genesis.
Why would he ask about Project Genesis?
Wouldn't the USS Reliant, a ship dedicated to helping the Genesis scientists, have far more information in its computers? Khan used the Ceti eels to control Captain Terrell's mind. He could just order Captain Terrell to give Khan access to the computers.
If Khan did have access to the memory files on the USS Reliant, he would not need to ask Admiral Kirk. In asking Admiral Kirk, Khan revealed his intentions, which a super-genius probably would not do. He also alerted Kirk to go to the science outpost, Regula I, since that is where the Genesis scientists did their research.
What happened when Khan beamed up to the USS Reliant that kept him from getting access to the computer memory files on Project Genesis?
Please provide answers from official sources.