D#m7b5 (D# half-diminished seventh) is a four-note chord made from D#, F#, A and C#. A half-diminished chord is a diminished triad with a minor seventh on top. It is the ii chord of a minor key, so it opens the minor ii-V-i that jazz leans on.
Built from the root D#, the minor third F#, the flat fifth A and the minor seventh C#.
Also written Ebm7b5: Eb Gb Bbb Db
Frets from low E to high E; x means don't play that string.
Easiest shape to start with: 1st fret (xx1222). It has nothing above fret 2 and 2 muted strings.
Every note of D#m7b5 is in these keys. The numeral is its place in the key.