Name for minor scale with flat fifth

I know this scale as "locrian ♮2"

In addition to the other correct answers here...

• It's the third mode of the Lydian dominant (or Acoustic) scale.

Lydian dominant = C - D - E - F# - G - A - Bb - C = WWWHWHW

Thus the third mode = E - F# - G - A - Bb - C - D - E = WHWHWWW

Or, transposed: C - D - Eb - F - Gb - Ab - Bb - C

• It's also called the Half-diminished scale ().

The bottom of your question has been answered correctly. Just to help and give some additional information referring to your comment:

I fiddle with keys and not really study the theories and relationships behind them. I might be lacking the terminology to search for.

The lacking term you have to look for is: the modes

https://en.wikipedia.org/wiki/Mode_(music)

and if you are interested in modern scale theory:

https://en.wikipedia.org/wiki/Jazz_scale

Putting the notes into a better known order gives the melodic minor, rising (or the jazz melodic minor. E♭ F G♭ A♭ B♭ C D.

Keeping the same order but starting on its 6th note gives a mode of that. C D E♭ F G♭ A♭ B♭.

This mode has a couple of names - Aeolian ♭5 and Locrian ♯2.

C D Eb F Gb Ab Bb

It's 6th mode of melodic minor scale (it has the same notes as Eb melodic minor).