Root on A string
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Cm7♭5 is the C half-diminished chord. Its notes are C, E♭, G♭ and B♭. Also written ø7. Often the ii chord in a minor ii–V–i progression.
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Numbers show frets from the low E string to the high e string; x means don't play that string.
Cm7♭5 is the viiø7 chord in D♭ major. That makes it a natural fit in songs written in those keys.
Every C, E♭, G♭ and B♭ on the first 12 frets. The filled dots are the root, C. Build your own shape from any nearby group.
Other C chords
Other half-diminished chords