Useful tip: try beaming down to SFA (star fleet academy) first and then up to ESD (earth space dock). This bypasses a loading bug that has been in the game for a while now (since season 5) that has not been fixed yet.
Unless they changed something during the last patch 2 days ago, this is a foregone conclusion. It will crash sometime in the next 28 hours, and the speed with which it is brought back up solely relies on how much data the developers want to mine out of the crash. More in-depth mining means it could be down for up to 6 hours.
I think the only reason it hasn't gone down already is that we aren't on the weekend right now. My prediction: tomorrow night at 9:45pm EST.