Beyond basic open position chords, basic movable form chords and a core set of 4-part chords. There are just too many chords shapes too memorize. Learning the principles of how chords are constructed and the ukulele fingerboard are the way to go. Then you can create more advanced chords like 9#11, 7#5-9, 13b5, 7+9 on the fly as needed.

In music or music theory, a triad is a three-note chord (or, more generally, any set of three notes, pitches, or tones). Triads can be used harmonically, as chords and melodically, as single notes. These lessons explore both. Using triads as chords like any other chord and using triads as a basis for creating melodies and improvising.

"Diminished Seventh Passing Chord - Example J". From the book A Guide to Blues Progressions for Ukulele from A to Z.

"Major Quick Four Progression - Example D". From the book A Guide to Blues Progressions for Ukulele from A to Z.

Wikipedia defines "Jazz" as a musical art form which originated at the beginning of the 20th century in African American communities in the Southern United States from a confluence of African and European music traditions. The style's West African pedigree is evident in its use of blue notes, improvisation, polyrhythms, syncopation, and the swung note.