For the form Q(x,y)=2x2−xy+3y2 do the following:
(a) Draw the topograph, showing all the values Q(x,y)≤30 in the topograph, and including the labels x/y.
(b) List all the values Q(x,y)≤30 in order, including the values when the pair (x,y) is not primitive.
(c) Find all the integer solutions of Q(x,y)=24, both primitive and nonprimitive. (And do not forget that quadratic forms always satisfy Q(x,y)=Q(−x,−y).)