A line that is not parallel to the \(x\)-axis has the equation \(a^2x + y = 3a - b - 3\), where \(a\) and \(b\) are constants. A curve has the equation \(2x^2 + y^2 = b + 3\). Given that the line and the curve intersect at the point \((0, a)\), find the value of \(a\) and of \(b\).[5]
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