What is true of it
C♯m7♭5 is C♯, E, G and B — 1, b3, b5 and b7 counted from C♯.
These are also the notes of Em6/C♯. Which name is right depends on what is underneath and what came before — the notes alone do not decide.
The easiest of the 1 fingering below is 6777: 4 fingers, held at the 6th fret.
None of them uses an open string, so this chord moves up the neck unchanged — the same shape 1 fret higher is the chord a semitone above.
Where its notes are on the neck
The brass dots are C♯, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
C♯m7♭5/E
9b9a
C♯m7♭5/G
0102
C♯m7♭5/B
4704
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.