And what is nolo, nolle, nolui? I thought coquere was the verb. So glad to see an imperative! Funny, it was one of my first thoughts this morning, "I wish the Latin course taught imperatives."
nolo, nolle, nolui are the principle parts of the verb. They should usually tell you almost everything you need to know to fully conjugate a verb. I remember my Latin teacher saying how important it was to remember the parts, even before I knew what the last two were used for.
There are often three or four depending on the type of verb:
The present (active indicative) first person singular - nolo
The present (active) infinitive - nolle
The perfect (active indicative) first person singular - nolui
The perfect passive participle - doesn't have one as there is not a passive for nolle.
EDIT: This seems to talk about the parts in more detail: https://www.thoughtco.com/principal-parts-of-latin-verbs-121418