to be able to do (...) This can be used to indicate that one can do (A), or one has the ability to do (A).

Ability

辛い料理は食べられないcannot eat spicy food

100mを10秒で走れた I was able to run 100m in ten seconds.

able to A

今日は早く家に帰られます (Specifically) today, I can go home early

明日は昼まで寝られる tomorrow, I can sleep until the afternoon.

It can also be used to denote some attribute:

カタツムリは食べられない Snails are not edible

この橋は渡れません This bridge cannot be crossed

昔、この病気は治せなかった A long time ago, this disease could not be cured

No direct objects

Potential forms cannot have direct objects. Instead, they go with

富士山~~を~~登れた 富士山登れた was able to climb fuji-san

Conjugation

All potential verbs become 一段 verbs.

| 踏む | plain | negative | polite | polite negative | | --------- | ----- | -------- | ------ | --------------- | | Potential | 踏める | 踏めない | 踏めます | 踏めません |

Dropping the ら

incasual , sometimes the らis dropped.
Technically incorrect, this does not change its meaning.

れる  見れる to be visible

This also makes it essentially the same conjugation as the godan version!

Special cases

できる

する {出来|でき}る できる can also be used roundabout for the main function of this form when combined with the act of doing (...)

この問題を解くことができる I am able to write kanji.

漢字を書くことができる I am able to solve this question

来られる

来る→{来|こ}られる

あり得る

ある→あり{得|え}る or あり{得|う}る

そんなことはありうる Such kind of things can exist!

それは、ありえない話だ That's an impossible story.

見える・聞こえる

見る and 聞く don't really have potential conjugations, insomuch that they are more their own verbs. 見る→見える (to be visible)

聞く→聞こえる (to be audible)