Lovely heirloom piece. Probably from 1958. As noted, if you set up an account on the Longines website, you can submit a form requesting complimentary historical information about your watch. These bracelets with spring-loaded endlinks can damage soft gold lugs.
I was searching for the thread you started, @michael e , as you posted https://omegaforums.net/threads/new-one-to-me-goldengines.71084/
Definitely an uncommon reference (9101) and in great condition, too. With vintage watches, condition and originality are everything so make sure that nothing gets altered (e.g. case polished, dial or hands re-lumed, crown replaced) if taken to a watchmaker. Though not at the very top of Longines' lineup in the mid-late 1950s (that would be the Conquest), this Goldengines with an 18K screw-back case would have been an expensive watch when new. Congratulations on a special heirloom and thanks for sharing the photos.
Very nice. You can also search the forum and the web for the Longines « golden arrow » which if I’m not mistaken is the same model with a different name, there are cool adverts which can also be found on the web at least for the steel version called « silver arrow » and « silvergines ».
As mentioned by others, the bracelet pictured (which has practically no value in $$$) uses tension springs that can damage the watch lugs. You can already see damage to them in the photo of the backside. Unless you intend on wearing it exactly as is, I recommend carefully removing them and putting on a leather strap.