#14476: non-integral models can cause a bug in local_data for elliptic curves
over
number fields
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Reporter: wuthrich | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone: sage-5.10
Component: elliptic curves | Keywords: local_data
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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This example was spotted by Dino Lorenzini:
{{{
sage: t = QQ['t'].0
sage: K.<g> = NumberField(t^4 - t^3-3*t^2 - t +1)
sage: x=-3/5*g^3 + 2/5*g^2 + 3/5*g + 4/5
sage: y=1/15*g^3 - 3/5*g^2 + 3/5*g + 17/15
sage: r = (x^2*y - x*y + y - 1) / (x^2*y - x)
sage: s = (x*y - y + 1) / (x*y)
sage: c = s*(r - 1)
sage: b = c*r
sage: E = EllipticCurve(K,[1-c,-b,-b,0,0])
sage: E.local_data()
}}}
which causes a {{{TypeError}}} in {{{_reduce_local}}}.
Tickets that may be linked to this are #11630 and #9410.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14476>
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