On Thursday, July 28, 2011, Jack Fearnley <[email protected]> wrote: > I read in the help that heights have only been implemented for elliptic curves over the rationals. My research involves computing heights of algebraic points on elliptic curves and I have been using Magma for this. > > A colleague of mine claimed that Sage could compute heights over number fields and demonstrated with example 2 from Siverman's 1988 paper* > > I confirmed this on my Sage (version 4.6.2) and also successfully reproduced example 1. > > Suitably encouraged, I attempted to compute some heights on E37b over a cyclic cubic extension and failed with error messages. > > Is anyone working on implementing this functionality? > Can anyone explain why Silverman's examples work? >
My understanding is that heights over number fields are fully implemented in Sage and have been for *years*. What doc says otherwise? What exactly fails? Post an exact session. > Best wishes, > Jack Fearnley > > * Computing Heights on Elliptic Curves > Math. Comp. vol 51 No 183 (Jul 1988) pp 339-358 > http://www.jstor.org/pss/2008597 > > > > > > > > > > > > -- > To post to this group, send email to [email protected] > To unsubscribe from this group, send email to [email protected] > For more options, visit this group at http://groups.google.com/group/sage-support > URL: http://www.sagemath.org > -- William Stein Professor of Mathematics University of Washington http://wstein.org -- To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sage-support URL: http://www.sagemath.org
