You did not say what your difficulty actually was, but let me guess. At present this functionality is provided in Sage *only* by calling Magma, and that will only work if you have Magma (which is not free!) installed on your machine. Secondly, I believe that it has only been implemented for plane cubics, not quartics of the form you want.
Otherwise you will have to wait; work is in progress to implement this (both for plane cubics and elliptic quartics) directly in Sage. John Cremona On Sep 3, 12:31 am, Nick <[email protected]> wrote: > Could anyone with a spare second please kindly evaluate the following > on their machine for me? I seem to be having some trouble with > implementation on my installation. I should say I am relatively new > to Sage. > > ============================== > x,y,z=PolynomialRing(QQ,3,'xyz').gens() > C=Curve(y^2*z^2-((81125/512)*x^4-(892375/256)*x^3*z+(465716625/16384)*x^2*z > ^2-(1667606875/16384)*x*z^3+(8898820225/65536)*z^4)) > P=C(0,1,0) > E=EllipticCurve_from_plane_curve(C,P) > =============================== > > In case it is not clear, I am simply trying to find the Weierstass > form for the elliptic curve > > y^2 = > 81125/512*x^4-892375/256*x^3+465716625/16384*x^2-1667606875/16384*x+8898820 > 225/65536 > > If anyone has any alternative suggestions for how one may reduce > y^2=f(x) where f(x) is a quartic, I would be interested to hear. > > Thanks very much. -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
