OME 1988 Problem 6

For all integral values of parameter $t$ , find all integral solutions $(x,y)$ of the equation $y^2 = x^4-22x^3+43x^2+858x+t^2+10452(t+39)$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.