The First chord shape is this:
This chord shape should be familiar-it is a standard minor seventh chord shape. I prefer to classify these by their highest note, because if you are using them to improvise ro to harmonize a melody, that is the note that matters.
Therefore, I refer to this as "fm7 with the f on top". If you would like to treat this as a moveable form (which it is), consider calling it "m7" with the root on top.
The composition of this chord is (from highest to lowest) Root, fifth, third, and seventh.