#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:  new     
   Priority:  critical       |      Milestone:  sage-5.0
  Component:  number theory  |       Keywords:          
Work_issues:                 |       Upstream:  N/A     
   Reviewer:                 |         Author:          
     Merged:                 |   Dependencies:          
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Comment(by cremona):

 This is also pretty damning:
 {{{
 sage: (3*P).height()/P.height()
 9.19316602595430
 sage: (2*P).height()/P.height()
 4.09522243754782
 }}}

 My guess is that the local contributions from the finite primes are fine
 (each is rational times log(p)), it's just the (two) real places.  One
 could compare with the real local heights as computed by Magma to verify
 this.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12509#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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