#16456: Bug in descend_to method for elliptic curves
-------------------------------------+-------------------------------------
Reporter: cremona | Owner: cremona
Type: defect | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: elliptic curves | Resolution:
Keywords: elliptic curve | Merged in:
base change | Reviewers:
Authors: John Cremona | Work issues:
Report Upstream: N/A | Commit:
Branch: | 9b0a5d98c44957ef2aaed72b9f9af5389a4c2d41
u/cremona/bug_in_descend_to_method_for_elliptic_curves| Stopgaps:
Dependencies: |
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Changes (by {'newvalue': u'John Cremona', 'oldvalue': ''}):
* status: new => needs_review
* commit: => 9b0a5d98c44957ef2aaed72b9f9af5389a4c2d41
* author: => John Cremona
Comment:
Ready for review. Note that there are two separate things here (which
perhaps should have been in separate tickets):
Up till the last commit the changes are in in number fields (including
QQ), not touching elliptic curves, implementing the function
descend_mod_power for number field elements and enhancing the selmer_group
with selmer_group_iterator for ease of use. (Also correcting the
documentation for selmer_group).
The last commit does what the ticket wanted, namely to re-implement the
descend_to function for elliptic curves. Apart from trivial cases this
will only work over number fields. It would work over any other field
where descend_mod_power could be implemented such as finite fields, but
note that in characteristics 2 and 3 the function would need to have a
completely different implementation.
----
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=04c1c45be771c1d1bcc8ad48bbce2c94feeee6eb
04c1c45]||{{{Enhanced number field selmer group capabilities by adding an
iterator}}}||
||[http://git.sagemath.org/sage.git/commit/?id=9b0a5d98c44957ef2aaed72b9f9af5389a4c2d41
9b0a5d9]||{{{#16456: fix bugs in elliptic curve descend_to function}}}||
--
Ticket URL: <http://trac.sagemath.org/ticket/16456#comment:5>
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