... The syntactical correction Curve(x^3+y^3-x-y+1,P) still doesn't work 
because we have an affine equation and are specifying an unrelated 
projective space.


That is the most serious defect in the answer. I missed that.

I think the conclusion should be that ChatGPT pretends to be a SageMath 
expert with great confidence but .. gasp ... isn't!


and also I was not careful enough to claim that.
 

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