Video: Not only is there more Darth Vader in this new international trailer for Rogue One, we also get the full exchange explaining the title of this movie and a bit more of Jyn Erso's (Felicity Jones) background.
Based on this trailer, we have a few things to note. They aren't spoilers as much as they are speculation, but still:
The biggest thing of note here is the crystal Jyn's mum gives her while saying, "Trust in the Force."
We've been hearing rumours constantly that one of the revelations in Rogue One is going to be that kyber crystals -- most famously used in lightsabers -- are one of the key components of the Death Star. It's been hinted at in Ahsoka, a book that takes place between Revenge of the Sith and An New Hope. That book even explains how the crystals can change colour.
If the thing Jyn's father was doing was experimenting with the crystals, which is why she has one, that would explain why the Empire came for him. And Jyn's is a symbolic through-line from her childhood to the Death Star.