#5153: bug in simon_two_descent for elliptic curves
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Reporter: was | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-4.0.2
Component: number theory | Keywords:
Reviewer: | Author:
Merged: |
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Comment(by cremona):
Looking at the example in more detail, I see that the points returned do
generate a rank 3 group (though I had to use Magma to check the
independence), so there are two problems: (1) the points in the list are
not independent (even in E(K)/2E(K)) and (2) the numbers 3,4 which are
supposed to be lower and upper bounds on the rank are wrong and should be
3,3.
I know how the first happens (since it is doing a descent via 2-isogeny).
This will be possible to fix once I (or someone) have eventually
implemented heights of points over number fields, as I promised to do in
trac #360 !
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5153#comment:2>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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