inconsistent results from hyperellratpoints

American Citizen <[email protected]>
Newsgroups gmane.comp.mathematics.pari.user
Message-ID <[email protected]>
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
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