Although if this is the LFT ("League of free terranians", the political organisation stationed on Earth/Terra) fighting let's say Arconinides (an alien race distantly related to a PR specific "ancient ancestor of humanity" that died out 50,000 years ago. Their ships actually inspired how the humans build and were inherited from that old ancestor race) the other side would have Spheres, "ice cones" (3/4 spheres with a stubby cone on the "downsside" end) and some exotic shapes like pyramids or maybe a flying palace on a big frisbee on the other side
Springer ("Jumpers", an offshoot of Arconides that lived on their ships as travelling merchants using hyperspace jump engines to go from star to star, their name for themselves is Mehandor or Merchants) would have large torpedo shaped ships.