When you make an Intelligence (Arcana) check to control a sphere of annihilation while you are holding this talisman, you double your proficiency bonus on the check. In addition, when you start your turn with control over a sphere of annihilation, you can use an action to levitate it 10 feet plus a number of additional feet equal to 10 × your Intelligence modifier.
While holding or wearing this talisman, you have Advantage on any Intelligence (Arcana) check you make to control a Sphere of Annihilation. In addition, when you start your turn in control of a Sphere of Annihilation, you can take a Magic action to move it 10 feet plus a number of additional feet equal to 10 times your Intelligence modifier. This movement doesn't have to be in a straight line.