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Revision 8 as of 2007-10-01 19:35:12
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[http://wiki.sagemath.org/days5/proj/ellcurve?action=AttachFile&do=get&target=ell_split.hg Breaking up ell_rational_field, adding Tate's algorithm] [[http://wiki.sagemath.org/days5/proj/ellcurve?action=AttachFile&do=get&target=ell_split.hg|Breaking up ell_rational_field, adding Tate's algorithm]]

Elliptic Curve

Get doctest coverage up to 100%

Period Lattice

  • Make it so precision can be specified (in bits)
  • Make an abstract "period lattice" class

Implement Tate's algorithm over number fields

  • This means porting Cremona's code. David Roe started on this.
  • This will give computation of conductors over number fields.

Compute the Neron-Tate canonical height of points on elliptic curves over number fields

  • Start with David Kohel and Martin Giraud: package/Geometry/CrvEll/anf_height.m

Reorganize and refactor the ell_rational_field file

  1. separate out all the L-series commands into an L-series class, e.g., like padic_lseries right now.

Compute E(F_q) and/or #E(F_q)

  • Implement smart baby step-giant step (Albrecht, Sutherland)

Compute with L-series of elliptic curves over number fields

  • Use Dokchitser to compute L-function

Sympow improvement

  • Improve Sage wrapper (a lot)
  • In particular, should autogenerate the needed data files.

Breaking up ell_rational_field, adding Tate's algorithm

days5/proj/ellcurve (last edited 2008-11-14 13:42:11 by localhost)