What is true of it
Cm7♭5 is C, E♭, G♭ and B♭ — 1, b3, b5 and b7 counted from C.
These are also the notes of E♭m6/C and D♯m6/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 5666: 4 fingers, held at the 5th 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
Cm7♭5/E♭
8a89
Cm7♭5/B♭
3323
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.