Sony Xperia E5 is the Sony’s budget smartphone for the year 2016. After a long time sony has rolled an update to the Xperia E5. The update brings the build number 37.0.A.2.248 and it seems the update is currently only the bug fixes and it does bring any update related to OS, Still on Android Marshmallow.
Currently the update is rolled out only for the F3311 variant. It is expected to rollout for all variants in sometime. To check for the update head to settings-> About-> Software update.