#11639: conductor of simple curve over Q(cube root 3) takes forever
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Reporter: was | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone: sage-4.7.2
Component: elliptic curves | Keywords:
Work_issues: | Upstream: N/A
Reviewer: | Author:
Merged: | Dependencies:
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Comment(by cremona):
How hard would it be to eliminate repeated gens after any ideal
multiplication? And would that make this particular example run in
reasonable time?
Note that in a Dedekind domain if I = (a,b) then I^n = (a^n,b^n)
[exercise!] which is surely a special case worth catching!
Otherwise I suppose we could have an option to return the conductor in
factored form. When I compute conductors over number fields I almost
always factor it right away (which is a bit silly when that poor ideal has
only just been multiplied together), and take its norm and factor that;
rarely would I want to see the conductor as an ideal unless it were
principal.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11639#comment:3>
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