Finding the solution classes (primitive and imprimitive) of the diophantine equation ax^2+bxy+cy^2=n, where b^2-04ac

Finding the solution classes (primitive and imprimitive) of the diophantine equation ax²+bxy+cy²=n, where b²-4ac > 0 and is not a perfect square, n non-zero, gcd(a,b,c)=1

(See paper.) The standard method is due to Gauss (See G.B. Mathews Number Theory, page 97 or L.E. Dickson, Introduction to the theory of numbers, pages 74-75.)

Last modified 16th March 2015
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Finding the solution classes (primitive and imprimitive) of the diophantine equation ax2+bxy+cy2=n, where b2-4ac > 0 and is not a perfect square, n non-zero, gcd(a,b,c)=1

Finding the solution classes (primitive and imprimitive) of the diophantine equation ax²+bxy+cy²=n, where b²-4ac > 0 and is not a perfect square, n non-zero, gcd(a,b,c)=1