#4290: [with new patch; needs review] function to construct an Elliptic Curve 
from
a plane curve of genus one (using Magma)
--------------------------------+-------------------------------------------
 Reporter:  ljpk                |       Owner:  craigcitro
     Type:  defect              |      Status:  new       
 Priority:  minor               |   Milestone:  sage-3.4.2
Component:  algebraic geometry  |    Keywords:            
--------------------------------+-------------------------------------------

Comment(by cremona):

 I have made a proper patch based on Lloyd's function (based on 3.4.1.rc0),
 which also fixes his function so that it works when the variable names are
 something other than 'x','y','z' (which it did not before).

 You might think that this function makes the existing
 EllipicCurve_from_cubic redundant;  it nearly does, but that function
 takes a homogeneous polynomial while this one takes an actual curve.  It
 would probably be better to combine these when all this is rewritten in
 Sage.

 I added the new function to all.py so that it is in the global namespace.
 I am not sure what the convention is here, given that it is an optional-
 only function requiring magma!  Also I have nto tested my patch o na
 machine without magma since I don't have one handy :)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4290#comment:6>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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