#6021: [with new patch, needs review] Implement period lattices for elliptic
curves over CC
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Reporter: cremona | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.0.1
Component: number theory | Keywords: elliptic curve periods
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Comment(by cremona):
With the new patch we now have a native implementation for real
embeddings, which is the default with 'pari' as an option. The period
computation itself is devolved to a couple of internal functions. Also, a
normalisation function is included and one can ask for either a basis or
normalised basis (these being different only for real embeddings). The
documentation is complete.
One thing which could be done is to cache the computed periods (with care
so that if the user asks again with higher precision they do get
recomputed).
The second patch was slightly premature (I had forgotten doctests for the
two internal functions) so should be replaced by the third one, to be
applied after the first, based on 3.4.2.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6021#comment:6>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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