Rent a usage from the faction that owns that DC. You'll probably want to start with the Rules page on Production. It's not a tutorial by any means, but it'll help you understand what you need to have and from where.
"May the Grace of Ara go with you, and His Vengeance be wrought upon your enemies."
Indeed it is not. Pretty much the entire datacard rules page is ahead of its time. At this point datacards are not actual items, they can't be copied, and they can be assigned to an unlimited number of production facilities in unlimited amounts.
The easiest way to find th DC, is look through the rules, find the ship you want and click on it's profile, on the right hand side will be a list of the factions that own the DC, you can click on them and find out more from the factions website about DC rentals (getting the DC assigned to your facility).
Although if you're new, you are unlikely to have the funds you will need for this kind of thing for a little while.