Reinstall adobe elements

I bought a Dell computer that had Adobe Elements installed on it. After a year or two, I ended up having to reformat the HD. I did not ever get a disk or anything from Dell to reinstall Adobe Elements. Is there any way to download a copy legally with a serial number. I do have Adobe account but the Elements is not listed as something I bought since it came preinstalled. Is there any hope short of buying the program again?