Uploading a course from Garmin Edge to phone

I was looking for a route to ride tomorrow. I found a course on my Edge 530, but it’s hard to see exactly where it goes because the Course preview maps are a bit rubbish. So I thought I’d look at the route on Garmin Connect on my phone … but it’s not there. I don’t think I’ve ever manually downloaded routes to my Edge via USB so I guess I must have deleted it from Garmin Connect some time after sync’ing it.

So … other than plugging in my Edge, grabbing the GPX and loading it back into GC again, is there any way to upload the course from my Edge to GC? I couldn’t see any menu items to ‘upload’ a course like that….