Diff for "days22/cremona/to-do-list"

Differences between revisions 1 and 6 (spanning 5 versions)

To-do list for elliptic curves in Sage

This is a list of things (small or large) which came up during SD22 at MSRI as deserving to be fixed or implemented in Sage.

Regulators over number fields
Linear dependencies over number fields
Finish ticket #8829 on saturation over number fields.
Kilford's rank function patch #9342: complete and review.
Integral points over number fields
S-integral points over number fields
S-class groups
K-Selmer groups esp. K(S,4) and K(S,2)_4
All curves with e.g.r.
All curves with e.g.r. outside S (using most of the above)
Iterating through number field elements by height; special case for integers; simpler version not by height.
Heights on projective space over number fields (Jackie's code)
Elkies-Watkins over number fields -- post what function you have by the end of the week.
Implement a 2-torsion rank function over number fields.
Given an elliptic curves defined over K, determine whether it is isomorphic over K to a curves defined over \QQ.

-  ⇤ ← Revision 1 as of 2010-06-28 22:56:23 → 
  Size: 197
  Editor: JohnCremona
  Comment:
+   ← Revision 6 as of 2010-06-29 00:44:10 → ⇥
  Size: 1179
  Editor: JohnCremona
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
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-Under construction!
+.  Regulators over number fields

   2.  Linear dependencies over number fields

   3.  Finish ticket #8829 on saturation over number fields.

   4.  Kilford's rank function patch #9342:  complete and review.

   5.  Integral points over number fields

   6.  $S$-integral points over number fields

   7.  $S$-class groups 

   8.  K-Selmer groups esp.  $K(S,4)$ and $K(S,2)_4$

   9.  All curves with e.g.r.

   10.  All curves with e.g.r. outside $S$ (using most of the above)

   11.  Iterating through number field elements by height;   special case for integers;   simpler version not by height.

   12.  Heights on projective space over number fields (Jackie's code)

   13.  Elkies-Watkins over number fields -- post what function you have by the end of the week.

   14.  Implement a $2$-torsion rank function over number fields. 

   15.  Given an elliptic curves defined over $K$, determine whether it is isomorphic over $K$ to a curves defined over $\QQ$.