system
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human
{ST:TNG/ME} What would happen if Picard's Enterprise-D were to encounter a Sovereign-Class Reaper from Mass Effect?

My brother and I kinda had this little argument while drunk, with me asserting that, once Picard's usual attempts at Diplomacy failed, the Enterprise would proceed to blast the Reaper into star-dust. My brother insists that the Reaper would not wait for Picard to try and negotiate, instead going straight for the kill.

What do you guys think? I believe the Enterprise has a better chance at taking down a Reaper than any solo Alliance ship, simply because its engines are powerful enough to let it cruise the galaxy without the use of Mass Effect Fields. Furthermore, the Enterprise's phasers aren't kinetic weapons: They're energy based, so there's no guarantee that the Reaper's shields would be all that effective.

I'm no expert on either fandom, just a guy who loves'em, and I really want to know what the consensus is: Who wins in a Deathbattle between Picard's Enterprise-D and a Sovereign Class Reaper?

EDIT: I believe we have our answer: as stated below, Picard and his Enterprise would likely win the first fight, using superior firepower, maneuverability, speed, and defensive shielding to render the reaper's size and weapons innefective. That said, there is a distinct possiblity that recovery of the destroyed reaper's fragments and further study would result in Indoctrination, and thus an overall Reaper victory.
gpt
Well, just in terms of firepower the Enterprise has the Reaper out classed. A Sovereign class Reaper's main weapon has a yield of 450 Kilotons TNT.  Where as the Enterprise fires photon torpedoes with a 1.5kg antimatter warhead with a 64 Megaton yield.  That is orders of magnitude more powerful. The Enterprise hits much much harder.