This can also be used to root stock JB ROM by installing Superuser through recovery.
Xperia E single
Xperia E dual
Note: Don't directly link to these releases. Link to this thread with current releases instead.
Boot to fastboot and flash boot image:
fastboot flash boot <filename>.elf
How to run fastboot is explained in Sony's instructions. If you still need help with that, please Google it yourself because there are plenty of guides.
Standard disclaimer that I'm not responsible for any messups applies.
Thanks go out to FXP for the initial Nanhu device port.
Separate versions for single/dual-SIM variants
Shut down option added to CWM
Proper default.prop included