#8248: Small improvement in checking for elliptic curve isogenies
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   Reporter:  cremona          |       Owner:  cremona   
       Type:  enhancement      |      Status:  new       
   Priority:  minor            |   Milestone:  sage-4.3.3
  Component:  elliptic curves  |    Keywords:  isogenies 
     Author:  John Cremona     |    Upstream:  N/A       
   Reviewer:                   |      Merged:            
Work_issues:                   |  
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 When an isogeny is constructed from a kernel polynomial, by default
 (unless check=False) it is checked whether the given kernel polynomial
 divides the appropriate division polynomial.  This is expensive when the
 degree is large (e.g. 163!).

 We provide a small patch which does this checking more efficiently.

 The example in the patch which now takes 20s, used to take many minutes.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8248>
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