Max Two Level Enchantment wont appear in third enchantment table slot

I have a mod that adds ice counterparts for fire enchantments such as flame and fire aspect. The only problem is I can't figure out how to make it so that Frost Aspect, my custom enchantment, shows up in the third level enchantments as Frost Aspect II like it does with fire aspect. It will only show up in first and second level enchantments. I've experimented a bit and it seems to have to do with the maximum level option. Increasing it up to say 30 does bring it into the third level enchantments section, but then its level is too high at Frost Aspect IV and V. Is there any way to keep it as a max two level enchantment but allow it to appear in all three enchantment table levels, mirroring fire aspects behavior? Thanks!