Technically nuclear came from a different star. The sun won't create those kinds of heavier elements until it burns through its hydrogen and helium fuel to start fusing its way up to lead, and I don't think it's massive enough to actually reach the kind of supernova collapse required to smash lesser elements together into heavier elements than that in any significant amount. So technically, fission is the only the form of energy that isn't based on solar. It's just the still-cooling-embers leftover from someone else's dying star, a whole bunch of billions of years ago. I guess you could say the sun's gravity at least attracted it all into this general vicinity though, at least until the Earth's own gravity started pulling its own weight.

btw geothermal does not come from the earth's rotation. it mostly comes from nuclear decay of heavy isotopes in the earth's interior and the enormous heat capacity of the earth's interior, which means it's still warm from the friction heat from when the planet first formed. in other words it's there since the Earth formed, independent of the sun.

also there's another (practically accessible) form of energy that comes neither from geothermal nor from the sun: you can pull energy out of the tidal movement that comes from the moon's changing gravity field as it orbits around our planet. i think that one's not really being used though because the only way to really utilize it is to build dams across havens and important shipping routes and that interferes with trade, which is considered the more economically valuable activity from the two.

except for geothermal which comes from the Earth’s rotational momentum

emm that is not the source of geothermal energy..

Didn't the molten core also originate in some way from the sun?

geothermal which comes from the Earth’s rotational momentum

umm.. that is not the source of geothermal energy..