Modes in the Minor Harmonic Scales

The following modes from the minor melodic scale are used in jazz. Most of their names are derived from the major scale modes. or example, the II mode is called locrian #6 because it looks like a locriian mode with an altered sixth degree. In this context b means half step lower and # or natural means half step higher...

Locrian #6
II mode

Ionian #5
III mode

Dorian #11
IV mode

Phrygian dominant
V mode

Lydian #2
Lydian #9
VI mode

Locrian b4, d7
VII mode