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Finding all integer solutions of binary quadratic form

I found the following page to calculate one solution for a binary quadratic form $ax^2+bxy +cy^2$: Link

Is there an algorithm to find, if possible, all integer solutions?

Finding all integer solutions of binary quadratic form

I found the following page to calculate one solution for a binary quadratic form $ax^2+bxy +cy^2$: Link

Is there an algorithm to find, if possible, all integer solutions?