#11220: implement listing j-invariants of CM curves over other fields and fix
incorrect remark in the documentation
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Reporter: was | Owner: cremona
Type: enhancement | Status: new
Priority: minor | Milestone: sage-4.7
Component: elliptic curves | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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This email thread says it all:
{{{
Hi David,
Do you have a list of the CM j-invariants over Q(sqrt(5))?
http://www.sagemath.org/doc/reference/sage/schemes/elliptic_curves/cm.html
-- William
}}}
{{{
Hi William,
I don't understand the comment (attribution to me) in the doc file.
I think it is a typo -- replace "field" with "functions" [on modular
curves of higher level]. In order to solve the problem (as a
precomputation) over an extension field F, it suffices to factor
the Hilbert class polynomials. In this case the class number can
be up to 2 (degree [F:Q]). The attached Magma and Sage code output
these values for F = Q(sqrt(5)).
Cheers,
David
}}}
I've attached his files to this email.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11220>
Sage <http://www.sagemath.org>
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