The last year for American eagle appears to have been 1972. Another member has a 1971 American Eagle with a serial number higher than yours, so supposedly yours should no newer than 1971 and possibly slightly older. You might be able to gfind some two letter codes on the backs of the derailleurs, if they are SunTour.

I'm not familiar with all the AE models but most of the names were carried over to Nishiki for the first first year. The least expensive first year Nishiki 10 speed with a female frame option was the Olympiad (later to become the Olympic), so this may be what you have.