The original minimum and recommended requirements weren't very relevant by the time of the shutdown. If they were to be believed, then my 2004 desktop (Sempron 2500+, Radeon 9600 128 MB, 1 GB RAM) wouldn't have any issue running the game. It barely managed on low settings, and the outdated GPU had a tendency to occasionally crash the game for no discernable reason. 
  
With the latest piece of news from the folks investigating the performance issues, it seems that a) Intel's integrated graphics and b) Windows 10 are out as options if you want to run COH: