#4412: [with patch, needs review] extend the local information function for
elliptic curves over number fields
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Reporter: cremona | Owner: was
Type: defect | Status: new
Priority: minor | Milestone: sage-3.2.1
Component: number theory | Keywords: elliptic curve local data
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This is essentially a continuation of #3897. I have added functionality
to ell_local_data.py so that for elliptic curves over number fields (and
over Q) you can (1) ask about additive vs. split vs. non-split
multiplicative reduction at a prime; (2) Ask for the Tamagawa index (which
is not always equal to the T. number) and also (3) added some better
documentation to the kodaira_symbol code.
The motivation is that this is used i computing p-adic elliptic logs which
in turn in used in the S-integral points code which is coming along
nicely. But this stuff is independent of that so I thought it could be
posted separately.
The patch should apply to 3.2.alpha1.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4412>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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