#9371: Implement E.two_torsion_rank() over number fields
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Reporter: weigandt | Owner: weigandt
Type: task | Status: new
Priority: major | Milestone: sage-4.5
Component: elliptic curves | Keywords: elliptic curves, two torsion rank
Author: weigandt | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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The function E.two_torsion_rank() can easily be made to work over number
fields. The current implementation over QQ calls E.torsion_subgroup() and
makes nontrivial use of Mazur's torsion theorem. This should be more
efficient and more general by considering the 2-division polynomial.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9371>
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