There are more pieces of information if you think about it.
Peak power and peak torque is only really 2 points of the torque curve, but you know some other properties from which you can generate other points and make a more precise torque curve.
i.e. torque curve gradient must be 0 at peak torque, must be positive up until peak torque, must be negative after peak torque, must be negative enough around peak power so that power does indeed drop off after peak power rpm and must be flat enough before hand so that power isn't higher before peak power rpm.
That's the basis for how torque curves in GRC work anyway, though I'm currently only using linear+cubic dual equation thingy, will up to quadratic+quartic when I feel like hurting my brain.