Please see the page How do I install the same copy of TurboTax on multiple computers? for help downloading your TurboTax on a second computer. 

Did you already install it from the CD on the first computer?

There is a problem if you first installed the CD.  It doesn't connect you to an account you can find.  You have to call in and ask for the download and a new License Code.  Hopefully you get a customer service person who know about it.

This guy explained it good

https://ttlc.intuit.com/community/taxes/discussion/cannot-reinstall-download-cd-product-on-second-co...

Contact Customer Service
5am-9pm Pacific Time
7 days a week
https://support.turbotax.intuit.com/contact/

What is the Turbo Tax phone number
https://ttlc.intuit.com/community/using-turbotax/help/what-is-the-turbotax-phone-number/00/25632

I get a message that it was downloaded on a different computer..