#7930: strange bug for elliptic curves over number fields
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Reporter: wuthrich | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone: sage-4.3.2
Component: elliptic curves | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by cremona):
Note that E has bad reductions at 3 and 11, which are both inert in both
those cubic fields. That means that when we are finding the local data
for each field, we construct the residue fields which are of order
{{{3^3}}} and {{{11^3}}} in each case, but the generating polynomial
(called the "modulus" in the finite field constructors) will be different,
namely {{{X^3 + X^2 - 2*X - 1}}} and then {{{X^3 + X^2 - 36*X - 4}}}.
This might help debugging the session will have more than one field of the
same order, with different defining polynomials.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7930#comment:5>
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