Is it going to be used for learning or for work?
I haven't read the user agreement in while and they do change, so I cant say for certain. I would think that a student version could be loaded on a company laptop for the purpose of the student learning the software, but not for work. The student version marks the files as student versions.
When I talked to my VAR a couple years ago I was told that since my company had full license(s) and I was the only one using one of those license, I could get a full copy from them to load on a company or private laptop. At that point I could even use it to work from home. The thing was that I would have to log in to use it so it would verify no one else is using that license, which is supposedly quick and easy. Then if I leave the company for any reason the company can call the VAR and they turn off my copy so I can't steal it for personal gain.
They make it complicated, for good reason, but I have found that most VARs will work something out with you. It's best just to ask them directly.
As far as it for learning purpose only and not official /commercial work it should be fine. Also make sure that along with it there is no commercial version installed on the same machine.