How much info should I put in my CV under education
I would agree that option 1 is the most likely option for someone who is just coming out of graduate school, and is looking to continue in the same field for a while. 

The department should be listed when relevant—that is, if the program in which the degree is awarded is different from the specialization in some where. For instance, if your PhD is in engineering, but the department conferring it is materials science, you should say something like number 2, rather than number 3.

I don't think there are many instances in which number 4 is very useful, because it looks like you're hiding what you did for a PhD. There are very few circumstances I can think of where this would work—except if the job call specifically required a degree from a particular subset of disciplines, to which you don't belong. But then something will probably come to light from the letters of recommendation, or from some other part of the application. 

So, I'd stick with options 1 or 2, for the reasons I've outlined above.