American Citizen on Mon, 02 Jun 2025 23:59:35 +0200


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inconsistent results from hyperellratpoints 

Can anyone explain this one?


? P= -x^4 + 1396354*x^2 - 282104388225
? hyperellratpoints(P,975)
%19 = [[-975, 376320], [-975, -376320], [-495, 0], [495, 0], [975, 376320], [975, -376320]] 
? hyperellratpoints(P,1073)
%20 = [[-1073, 0], [-495, 0], [495, 0], [1073, 0]]
? hyperellratpoints(P,1074)
%21 = [[-1073, 0], [-975, 376320], [-975, -376320], [-495, 0], [495, 0], [975, 376320], [975, -376320], [1073, 0]]
what happened at x=1073? where did the rational pts at x= -975 and +975 go to? 

Randall