Easy first tame on Genesis. Do the wave ray mission a few times to get some armour a weapon and hexagons. Once you have them all get some meat and passive tame a high level one. Low levels are great if you are just going to use it to get oil. High levels are good for farming Bio toxin or fights in general as they have lots of health, and you can't get knocked off of them. They don't take damage from electric attacks like from eels and jellies.

More Basilosaurus Taming & KO Tips