What ships have you used (particularly small ships) to kill the Alien Cruiser ?
(ok, you liars, this is a chance to claim to have done it in a shuttlecraft.)
I have done it ( in EV 1.05) in a Corvette, a Rapier, (and a lightning in EVGE)
In addition, I have done it in a Kestral, a Rebel Destroyer (captured with a Kestral), a Rebel Cruiser (captured with the Rebel Destroyer), plus a Confederate Frigate, and a Confederate Cruiser (both captured with the Rebel Cruiser) I have to admit that it was easiest with the Confederate Cruiser-I detest that ship.
I almost did it in a lightning, but ran into the "wall" before I could grind down the AC's shields. It might be possible, but would probably take about 50 tries.
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Lightspeed: 11.78 inches/nnanosecond