On Wed, Feb 5, 2014 at 1:06 PM, raman kurdi <[email protected]> wrote: > Hi Sage, > > I have some curves with rank at least 4. But I can not compute the > rank by Mwrank. I use (' -p 200 -v 0'). > Could you please help me? >
You might find this example useful, which shows your first curve has rank 5. sage: E = EllipticCurve((0, 0, 0, -591361, 144600625)) sage: %time E.simon_two_descent() # output implies rank of 2-selmer is 5... CPU times: user 744 ms, sys: 40 ms, total: 784 ms Wall time: 1.99 s (5, 5, [(281 : 785 : 1), (600 : 2405 : 1), (625 : 4375 : 1), (719 : 9545 : 1), (769 : 12025 : 1)]) sage: E.root_number() # means rank is odd -1 The algorithm used by simon_two_descent is different than the one in mwrank, and works better to get info about the rank in some cases. William > Best, > Raman > > -- > 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/groups/opt_out. -- William Stein Professor of Mathematics University of Washington http://wstein.org -- 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/groups/opt_out.
