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On 2 October 2014 11:07, 'Padmanabhan Tr' via sage-support <[email protected]> wrote: > 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 a topic in the > Google Groups "sage-support" group. > To unsubscribe from this topic, visit > https://groups.google.com/d/topic/sage-support/10kYPIEKnGw/unsubscribe. > To unsubscribe from this group and all its topics, 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. -- 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.
