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.