Written out
Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.
The step pattern
EHFWGHA♭WB♭WCWDWE
What is true of it
E altered is E, F, G, A♭, B♭, C and D, and back to E.
Its steps are H – W – H – W – W – W – W, where W is a whole step and H a half.
On the same tonic, E Locrian differs from it by exactly one note.
Across the first twelve frets of the ukulele its notes fall in 31 places, which is what makes a scale a shape rather than a list.
Chords made only of these notes
CmajorCaugaugmentedC7dominant seventhDdimdiminishedDm7♭5half-diminished seventhEdimdiminishedEaugaugmentedEm7♭5half-diminished seventh
Found by testing every chord in the catalogue against these 7 sounds, not chosen.