|Bill Allombert on Tue, 17 Feb 2015 16:55:07 +0100|
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|Re: hyperellcharpoly for y^2=x^(2*g+2)+...|
On Sat, Feb 14, 2015 at 06:49:29PM +0100, Bill Allombert wrote: > Dear PARI developpers, > > I have made an improvement to the GP function hyperellcharpoly() > so that now it also handles polynomials of even degrees. > > ? hyperellcharpoly((x^6-18*x^3-27)*Mod(1,7)) > %1 = x^4-4*x^3+18*x^2-28*x+49 Also, Karim has suggested to allow more general equations y^2+Q(x)*y = P(x) and to uniformize with genus2red(). We plan to allow hyperellcharpoly(P) and genus2red(P) for y^2 = P(x) and hyperellcharpoly([P,Q]) and genus2red([P,Q]) for y^2+Q(x)*y = P(x) and to deprecate genus2red(Q,P). Cheers, Bill.