I don't think Tesla offer anything but common stock, and although Musk owns the largest portion it would be possible to buy out all the other institutional investors and obtain a majority. Probably would need a substantial premium on the price, but hey, everyone has a price.
I don't quite know what you mean by "offer". It doesn't matter what they offer/offered at IPO, we should be looking at their capital table, and their company bylaws, that determine what types of shares they have and who has how many and of what kind.
It's quite common that the founders have special shares and only common stock is put up on the market at IPO time. (And early stage investors usually got preferred stock, but they usually exit at IPO time.)
