#14472: some elliptic curve functions over number fields fail over relative
fields
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Reporter: cremona | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone: sage-5.10
Component: elliptic curves | Keywords: elliptic curve relative
number field
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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This was reported by Alejandro Argaez:
{{{
sage: K1.<w>=NumberField(x^2+x+1)
sage: m=polygen(K1)
sage: K2.<v>=K1.extension(m^2-w+1)
sage: E=EllipticCurve([0*v,-432])
sage: E.global_minimal_model()
<boom>
}}}
The error is that the degree() function is called on the ring of integers
of a relative number field.
In fixing this bug (which should be easy) it would be a good idea to add
relative examples to as many functions as possible in
{{{ell_numberfield.py}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14472>
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