ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 02 Nov 2016 03:40:58 -0500point addition on elliptic curvehttp://ask.sagemath.org/question/35343/point-addition-on-elliptic-curve/ I have the following code where I want to add a 4-torsion point given by
`P=[15+36*B, 27*a*(a^2-4*B-5)]` with `B^2=-2` and `a^4-5*a^2-32=0`
and `Q=[r,s]` on my elliptic curve `E` as given below:
E=EllipticCurve([-3267,45630])
k.<B>=NumberField(x^2-2)
k.<a>=NumberField(x^4-5*x^2-32)
kr.<r>=FunctionField(k);
krS.<S>=kr[]
R.<s>=krS.quo(S^2-(r^3-3267*r+45630))
P=E(R)(15+36*B, 27*a*(a^2-4*B-5))
Q=E(R)(r,s)
P+Q
but it keeps giving error such as :
TypeError: unsupported operand parent(s) for '-': 'Number Field in a with defining polynomial x^4 - 5*x^2 - 32' and 'Number Field in B with defining polynomial x^2 - 2'
Can someone please advise me what is wrong in my coding.
ShaWed, 02 Nov 2016 03:40:58 -0500http://ask.sagemath.org/question/35343/