The egg-fish goldfish is a fancy goldfish breed which lacks a dorsal fin and has a pronounced "egg"-shaped body.
The egg-fish breed resembles the ranchu, but lacks the "hood" (or wen) typical of that goldfish; ranchu also tend to have shorter, squatter bodies.
[1][2] The egg-fish goldfish is commonly kept in China and is the precursor to the celestial, lionhead, pompom and the bubble-eye goldfish varieties.
In Japan, the egg-fish is called maruko.
[3][4] The phoenix is a Chinese goldfish variety with an egg-shaped body, a long tail, and lacking both a dorsal fin and headgrowth.