For this curve over a number field sage claims genus 10 and magma claims genus 0.
I am pretty sure the curve has infinitely many rationals points. sage: pr.<Z>=QQ[];K.<v>=NumberField(Z**2-5);Kp.<x,y>=K[];p=y^10 + (1/2*v - 1/2)*x^3*y^5 + (-3/2*v + 3/2)*x*y^5 + (-1/2*v + 3/2);C=Curve(p);C Affine Curve over Number Field in v with defining polynomial Z^2 - 5 defined by y^10 + (1/2*v - 1/2)*x^3*y^5 + (-3/2*v + 3/2)*x*y^5 + (-1/2*v + 3/2) sage: C.genus() 10 Is this a bug in sage or magma? 5.3 and 4.3 on linux x86_64 -- You received this message because you are subscribed to the Google Groups "sage-support" group. To post to this group, send email to [email protected]. To unsubscribe from this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support?hl=en.
