As explained here by "Labour Friends of Iraq", the Iraqi Communist Party have played a major role in the country's recent public celebrations (e.g. opposite) of the 50th Anniversary of the 1958 Iraqi Revolution which led to a 5 year period of both social improvement and high hopes for the future. Unfortunately, in 1963 the first coup involving the Ba'thists took place, setting seeds which led on to the eventual excesses of Saddam Hussein.
The first half of my own 4 part series on the History of the Iraqi Communist Party shows why they see the 1958 to 1963 period as being of such significance. See here for Part 1 and Part 2.