#6386: [with patch, needs review] Implement elliptic exponential
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Reporter: cremona | Owner: was
Type: enhancement | Status: new
Priority: major | Milestone: sage-4.1
Component: number theory | Keywords: elliptic curve
Reviewer: | Author: John Cremona
Merged: |
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The elliptic exponential is the inverse to the elliptic log, i.e. it is
the Weierstrass parametrization CC/L -> E(CC) for an elliptic curve.
The patch implements this as a member function of the PeriodLattice_ell
class. It works for all period lattices, real or not. Currently it is
accessible via a member function for elliptic curves over Q; I'll make it
work over number fields too, but ona separate ticket. [At present it
would already work for real embeddings; shortly a rigorously justified
elliptic log for non-real embeddings will also be ready.]
The hard work is done by pari's ellwp0() function, which was already
wrapped, but to get the precision right that had to be slightly changed.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6386>
Sage <http://sagemath.org/>
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