#9411: Given points on an elliptic curve, this finds a LLL reduced
ZZ-independent
set
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Reporter: aly.deines | Owner: cremona
Type: enhancement | Status: needs_work
Priority: minor | Milestone:
Component: elliptic curves | Keywords: LLL, rank
Author: Alyson Deines | Upstream: N/A
Reviewer: John Cremona | Merged:
Work_issues: |
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Changes (by newvalueoldvalue):
* status: new => needs_work
* reviewer: => John Cremona
* author: => Alyson Deines
Comment:
Aly, would it not have been simpler to move the code of the function
lll_reduce(self, points, height_matrix=None) from ell_rational_field to
ell_number_field? That function was written when we only had heights over
Q but it does the same thing, essentially.
Apologies if I should have told you about that function earlier...
There may well be other functions which can similarly be moved up;
someone should go systematically through ell_rational_field functions to
see which others there are.
On your patch, I see the following: (1) no tests over fields other than
Q; (2) in defining E why not just E=self?; (3) better to use the pari
library than the gp interface (when there's a choice). Otherwise it
applies and builds fine.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9411#comment:1>
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