Since you are a beginner, probably it's best to get used to the most useful "forms" of Japanese, including the te-form, masu-form (aka polite form), imperative form, etc. It's the fastest way to learn to communicate in Japanese.
But if you keep studying Japanese systematically, you will encounter something unusual like 食べさせられたくなかった, which roughly means "did not want to be forced to eat". Do we really have to name this "form" as something like "the past-negative-desire-causative-passive form" and learn it by rote? Certainly not.
Actually, there are only five (or six) basic verb conjugation patterns in modern standard Japanese. Some of the "forms" you have learned are actually combinations of one of the five patterns and "an auxiliary" (助動詞 in Japanese). Auxiliaries works very similarly to English auxiliary verbs ("can", "should", "may", etc.; also known as helping verbs) except that you don't need spaces and that they come after verbs. You can attach more than one auxiliary to say something complicated like "past + potential", "passive + causative", or even "passive + causative + volitional + negative + past". The most common auxiliaries you have probably learned already include ます (the polite marker), た/だ (the past-tense marker), れる/られる (the potential marker), て/で (the "continuation" marker of the te-form), etc. The part before た and て are exactly the same for all types of verbs, and people call it 連用形 ("continuative form"), which is one of the five basic patterns. So once you have mastered the te-form (I know it's a bit hard at first), that means you have also mastered the conjugation patterns of the ta-form (past tense), too.
So you don't have to worry too much; seemingly some textbooks for Japanese learners like to introduce many "forms", including "tari-form" and "nagara-form", but you can learn them quite easily once you have learned the basic five patterns. (Another good news is that there are very few irregular verbs in Japanese.)
For more details, please see the following (But don't worry if you cannot understand them now):