On Aug 17, 1:39 pm, Foad Khoshnam <khosh...@gmail.com> wrote: > Hello > I used the Mwrank option -p 300 to calculate the rank of curve > Curve > [0,1,0,-159627308733826113531278066761692301750824909156,-24543003331398069 > 071481672747624345262031248143014554550977848062108256] : > 2<= rank <= 3 > > Also I used option -s to its selmer rank so its selmer rank was 3. > Is it true that by parity between rank and selmer we conclude rank=2 ? > Thank you
No. And mwrank does not say that the 2-Selmer rank is 3, it says that it is 5. But 2 of that comes from the torsion so the Selmer group gives an upper bound for the rank of 3. Now parity implies that the rank is odd, so in fact the rank must be 3 but the 3rd generator was not found. It is possible that increasing the search bound with -b will succeed (the default is 10) but not guaranteed, and adding 1 to that bound will multiply the running time by a constant. John Cremona -- To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
