#12509: computation of height of point on elliptic curve over Q(sqrt(5)) is 
WRONG
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       Reporter:  was              |         Owner:  was         
           Type:  defect           |        Status:  needs_review
       Priority:  critical         |     Milestone:  sage-5.6    
      Component:  elliptic curves  |    Resolution:              
       Keywords:  heights          |   Work issues:              
Report Upstream:  N/A              |     Reviewers:  Peter Bruin 
        Authors:  John Cremona     |     Merged in:              
   Dependencies:                   |      Stopgaps:  #12692      
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Comment (by cremona):

 Thanks: your second point is that while we still work in double the
 precision, the number of terms needed can be computed from the original
 precision?  That makes sense.

 On the second point, it is certainly possible that the user asks for two
 different things by using a low-precision embedding but then asking for a
 higher precision without refining the embedding.  I would fix this by
 first replacing v (if necessary) by a refinement to precision "prec".
 Which may be what you patch does, so I should look at it.... and indeed
 that is what you do.

 The second patch looks good to me, hope the tests pass!

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12509#comment:12>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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