It was written in c. 1830 and published in 1871/72. It was the second of Chopin's posthumously published waltzes not to be given a posthumous opus number. (The first was the
Waltz in E minor.) It appears in Brown's catalogue as B. 44, in Kobylańska's catalogue as KK IVa/12, and in Chomiński's as P1/12.
where the A's are each in E major, the B's are each in G-sharp minor, and the C is in A major.