While you may be able to upgrade to El Capitan OS X 10.11.6 from app store
link to get the installer (that then gets download) within the web page here:
• How to upgrade to El Capitan - Apple Support
https://support.apple.com/en-us/HT206886
Maybe the next higher macOS could be more useful, if your Mac has no issue
with third party or other software that may also need upgrade to run there..?
• How to upgrade to macOS Sierra - Apple Support
https://support.apple.com/en-us/HT208202
Since there is no identifiers provided in this discussion, to tell what may work
~ there are later macOS versions; some may (or not) be available to your Mac.
• How to upgrade to macOS High Sierra - Apple Support
https://support.apple.com/en-us/HT208969
These later macOS versions likely would also require a newer iTunes download
upgrade version so your iPhone or other iOS device could support them, too.
If your Mac and software could run Mojave 10.14.x that may worth considering;
but the hardware in an older Mac may need more RAM; also a larger hard drive.
And Catalina 10.15. brings with it a different file system, more security methods,
along with depreciated -no longer can use- 32-bit apps + drivers. It's 64-bit only.