#3897: [with patch, needs review] bug in local_information due to the lack of
residue_field for ZZ
---------------------------+------------------------------------------------
 Reporter:  wuthrich       |        Owner:  was       
     Type:  defect         |       Status:  new       
 Priority:  minor          |    Milestone:  sage-3.1.3
Component:  number theory  |   Resolution:            
 Keywords:                 |  
---------------------------+------------------------------------------------
Changes (by cremona):

  * summary:  bug in local_information due to the lack of residue_field for
              ZZ => [with patch, needs review] bug in
              local_information due to the lack of
              residue_field for ZZ

Comment:

 OK, so the patch 3897-residue-fields-ZZ.patch implements residue fields
 for ZZ.  ALong the way there were quite a few smallish fixes needed in
 related things, and while I was immersed in number_field.py etc I added a
 whole lot of docstrings and doctests there.

 This applies to 3.1.2.rc1 AFTER the patches for #1951 which are related
 (they also relate to residue fields).

 After this has been accepted (after revision if necessary, of course!)
 then we can start to work on the original problem: I know that
 local_information() still does not work for curves defined over Q.

 Chris:  I have started going through all the functions for elliptic curve
 over Q vs. curves over number fields, to make everything as consistent as
 possible.  These residue field extensions will help.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/3897#comment:4>
SAGE <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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