Its original name was Cugullent, from the Latin cucullus, which means "cap." This alludes to its location on a hill and to the crowding of its houses that mimics the appearance of a pineapple or bud. "Bud" would come to mean, according to other authors, "mound with a steep slope."
The municipal coat of arms - approved by decree on December 20, 1985 - is the following:
Cut: 1st and 4th part, made of gules, golden tower masoned with sable and clarified with gules; silver match the rampant lion of gules; 2nd and 3rd, of azure, three golden lyses, 2-1. At the top, royal crown closed.
-Official Gazette of Castilla-La Mancha No. 52 of December 31, 1985
The municipal flag is a cloth of 2:3 proportions of crimson red color with the municipal coat of arms in the center.