#10973: Integral points on elliptic curves over number fields
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Reporter: justin | Owner: cremona
Type: enhancement | Status: needs_review
Priority: major | Milestone:
Component: elliptic curves | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author: Justin Walker, Aly Deines,
Jennifer Balakrishnan
Merged: | Dependencies:
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Changes (by aly.deines):
* status: needs_work => needs_review
Comment:
Trac10973.4.patch addresses everything in report.txt.
This returns the same result as the original integral_points over `Q` with
all curves of conductor up to 1000 (and also agrees with Magma). This
also finds the missing points referred to in ticket #10152.
We compared times on all curves over `Q` of conductor less then 1000; the
original implementation was usually 2 to 8
times faster, though in certain instances it did not find all integral
points (this was ticket #10152). So this is a bit of a slowdown.
If `E` is a curve over `Q`, then E.integral_points() calls the method in
ell_rational_points.py (the previous, faster, not always correct, method).
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10973#comment:12>
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