In the trailer for Dragon Ball Daima, we have seen Goku go Super Saiyan, and he goes Super Saiyan 2 before the reel ends. So far, there is no word about Super Saiyan 3 or any other advanced forms ...

In Vegeta's case, i.e., he was able to ascend to the form by letting go of his rivalry with Goku. Goku's son, Gohan, also achieved the Super Saiyan form during training in the Hyperbolic Time ...