A completely smooth one is called a
polished mark or scar.
They can be nice and neatly round or a bit lopsided.
There are several different qualities of finish to a piece. The higher the quality of the piece, the higher the quality of the work done to finish it off well.
Polishing and grinding glass is a work intensive activity. It's only worth spending wages on that time for a superior item.
The ripples you are describing suggest this may have been blown into a mould, then the base rim further polished to make it nice and flat to sit on.
