This chord is a Dm7. The notes are D, F, C, D, and A. Reorder them as D (root), F (minor 3rd), A (5th), C (dominant 7th) and D

As I mentioned in my earlier response, if you move the F on the 4th string up one fret, the shape resembles a dominant seventh chord. (For me, I saw it as a C7 moved up one tone to a D. C7 is a chord I see lots more often than a Cm7). Moving the note on the 4th string has the effect of changing the chord from a minor tonality to a major one.

Two important things can be learned from this chord shape:

First, when the root is either on the 6th or 5th string, if the note on the next highest string is two frets closer to the nut, the chord will be minor. If it's one fret closer to the nut, the chord will be major.

Second, the dominant 7th will always be 2 strings higher than the root on the same fret.

Using these two simple rules can help you figure out chords without having to think a lot about it.