"Black back" isn't a morph, it's just a description of a trait feature. She does display some black back tendencies, as well as reduced pattern. Both of which are descriptive terms and not morphs. Sometimes these traits can be passed on through careful selective breeding, but it's not the same as the predictably genetic morphs.
No matter how you look at it though, she's a beauty! Glad she seems to have found a good home!