Sorry to be the bringer of bad tidings...
but we had the same problem with Lucys 650GS, pull up a chair and read this in a darkened room.
Speedo quits, so I have a dig at it, and trace it to a front wheel ABS sensor. One new sensor fitted £45ish, and, Doh, wasn't that. So back to the drawing board, Various people pointed out that you need a good battery to arm the ABS, which all works on the same circuit. Aha, thought I, new battery fitted, and, Doh wasn't that either.Mean while, the ABS had gone tits up altogether, so now the speedo and ABS were donald ducked. Ahaha, both those work off the rear ABS sensor, another new sensor, and, triple Doh.
At this stage I decided to let BVM plug it in to the magic box, no chance, couldn't work out what was going on, so we set about manual poking with pointy things.
I took the multi plug connector off the ABS pump, and it was all a green and furry copper corroded mess. Two of the terminals actually broke off when I pulled the plug off, and according to the official dealer workshop book, the two terminals are for the ABS and speedo, except they're not, the german tossers have developed the photo backwards in the book (I kid you not).
Back to the chase, the problem was now getting cornered in the direction of the biggest chunk of metal on the bike. Get home, rip the ABS pump off the bike, and poke it with a very pointy stick. A nice Mbw sealed unit, but not for long. the plastic box with all the electrics in, attached to the pump itself, was, eeerrrr, duley opened, shall we say, and the whole box of tricks was full of water. Problem traced.
Now off you go, and try and find a second hand abs pump. No chance. Mbw new one thankyou very much, just don't ask how much

It's quite common on the C1's you know, well you do now.
The end
And Lucys 650 is in the for sale thread if anyone wants a good un