#11980: hyperelliptic curves: count_points and frobenius_polynomial do not work
in
all cases, not zeta_function available
-------------------------------------+-------------------------------------
Reporter: dkrenn | Owner: cremona
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-5.12
Component: elliptic curves | Resolution:
Keywords: sd35 | Merged in:
hyperelliptic curve sd53 | Reviewers: Marco Streng
Authors: Daniel Krenn | Work issues: correct number of
Report Upstream: N/A | points at infinity, examples for
Branch: | even degree
Dependencies: #15115 #15148 | Commit:
| Stopgaps:
-------------------------------------+-------------------------------------
Comment (by jpflori):
Ok, so Ive finished #15148, and after looking at what was I suggested
here, I think what has to be done here, on top of #15148:
* we should add the zeta_function method,
* enhance the naive point counting I introduced in #15148 with some ideas
from this ticket, namely replace my use of the extension method of finite
fields by that of embeddings of a subfield into a super field using the
Hom functor and the embedding it computes.
--
Ticket URL: <http://trac.sagemath.org/ticket/11980#comment:9>
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