1. I am using SAGE-6.2-x-86_64-Linux 2. From Documentation I understand that the points are chosen randomly & may differ at each entry. 3. I wrote the code with [0,1] as coefficient set & tried first. Since I did not get the points on the curve I made the change to [0+0j,1+0j] consciously & tried. 4. I wrote a Python program to get the points on the EC - extended field & checked.; these points are not on the EC. 5. With Python I have the following algebra for the 'point' [9+3j, 1+5j].
y2 = (1+5j)**2 >>> y2 (-24+10j) >>> x3 = 1+(9+3j)**3 >>> x3 (487+702j) >>> a=487%11 >>> a 3 >>> b = -24%11 >>> b 9 >>> 702%11 9 Mr Cremona, please see this. On Wednesday, October 1, 2014 12:46:57 PM UTC+5:30, Padmanabhan Tr wrote: > > I am working with Elliptic curve in extended field. I tried to get points > / order in the group. I have copied a small code set & results from > notebook. The points obtained are not in the EC; I have checked it using a > Python program I coded for this. Is it a bug / wrong use of codes by me? > > F.<f> = GF(11^2,'f') > ff2 = EllipticCurve([0+f*0,1+f*0]) > ff2 > Elliptic Curve defined by y^2 = x^3 + 1 over Finite Field in f of size > 11^2 > fg =ff2.gens() > fg > [(8*f : 6*f + 6 : 1), (5*f + 8 : 3*f + 6 : 1)] > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
