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Solving 3rd degree Diophantine equation in Sage

Is there a way to find an integer solutions to $y^2=x^3-x/25+9/125$ using Sage? I tried elliptic curves but its command integral_points() won't work as the curve seems not to be an integral model.

Solving 3rd degree Diophantine equation in Sage

Is there a way to find an all integer solutions to $y^2=x^3-x/25+9/125$ using Sage? I tried elliptic curves but its command integral_points() won't work as the curve seems not to be an integral model.