It should definitely fall into the highest column in the spell point system, the Sorcerer, but in all likelihood it may need more spell points per level than that column grants.
The spell point system deals a pretty huge blow to spontaneous spellcasters, like the bard, sorcerer, and warmage, compared to the benefits gained by the prepared spellcaster classes. In essence, it turns all wizards and clerics into sorcerer-like casters, but it doesn't grant any similar awesome benefit to casters who can already cast any spell they desire as long as they know it.
Think carefully before you utilize this system in a party with spontaneous casters. It's poorly designed and clearly no thought was put into addressing this disparity. In our game, we had to houserule a couple of different "fixes" to equalize things.