Flashtool: http://www.flashtool.net/index.php
FTF FILES TO FLASH (Download both of the these and put them into \Flashtool\firmwares folder)
File 1:http://www.mediafire.com/download/4tbnsy3cqi35anf/C1505_11.3.A.0.47_CE.ftf
File 2: https://docs.google.com/file/d/0B4bS0kAACdHEbkszclIzbHFkSUE/edit (just press download on the top bar)
Framaroot APK: http://forum.xda-developers.com/attachment.php?s=c8eaf55b7fc7a4965851c7df891d126e&attachmentid=2784451&d=1402084843

After you have got all the files we can begin!

1) Open up flashtool and click the lightning icon and select Flashmode and the Following:
C1505 11.3.A.0.47 (Untick DATA AND CACHE) (TICK EVERYTHING EXCEPT KERNAL IN THE EXCLUDE SECTION)
2) Click on Flash and turn off your xperia e, after your xperia e has turned off plug in the usb cable while holding the volume down key.
3) Flashtool will begin to flash, after the flash has completed remove the usb cable and power on your xperia e. (WIFI WILL NOT WORK).
4) Once your xperia e has fully booted up, go back onto flashtool and select the ARROW Icon and browse for the Framaroot APK & Install.
5) Once the Framaroot APK has been installed open it up and click on GANDALF, it should come up with sucess and now reboot your xperia e.
6) After the reboot go back to flashtool and click on the lightning icon, select Flashmode and the Following:
C1505 11.3.A.2.23 (Untick DATA AND CACHE) (TICK EVERYTHING EXCEPT KERNAL IN THE EXCLUDE SECTION)
7) It will begin to Flash and you will have root on latest version with everything working.