The C♯ harmonic minor scale has 7 notes: C♯ – D♯ – E – F♯ – G♯ – A – B♯. The harmonic minor is the natural minor with its 7th raised a half step. The gap of three frets between the ♭6 and the 7 gives it its exotic, classical sound, and the raised 7th makes the V chord major, so it pulls strongly back home.
C♯ and D♭ are the same pitch, so this page covers both names; the notes are spelled from C♯, the way the key is usually written. Compared with the C♯ major scale it has ♭3 (E instead of E♯), ♭6 (A instead of A♯).
The explorer above is set to C♯ harmonic minor: the whole neck is mapped, and you can zoom into any of its 7 positions, change the labels to degrees or fingers, and hear it up, down and in patterns.