Use Kanbanery as IntelliJ Tasks resource. You can choose tasks from your Kanban board (or multiple boards) and start hacking on them. Be sure to take a look at the README in the github repo, as it contains a nice preview of this plugin :-)
Task titles (and reference ID's) are then added automatically to each commit so Kanbanery will know that some commit is about some task.
You will need to create a Kanbanery account to use this plugin, but don't worry - it's free :-)