#10581: change Large Cremona database format and extend it
-------------------------------+--------------------------------------------
Reporter: gagansekhon | Owner: cremona
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.0
Component: elliptic curves | Keywords: cremona, stein, watkins,
elliptic curves, database
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
-------------------------------+--------------------------------------------
Comment(by weigandt):
I actually thought about question 2 on Thursday.
Ultimately this database might contain curves that come not only from the
Cremona or Stein-Watkins tables but also from ABC@home data, Cremona's
egros code, parameterizations of elliptic curves with prescribed torsion
subgroups, taking quadratic twists, and whatever other dirty tricks we can
think up.
Let's say hypothetically that there are 25 isogeny classes in Stein-
Watkins of conductor 240672 (I'm guessing there are far more). Then these
should be labeled sw240672A to sw240672Y. A couple months down the road, I
might then add (though some refereed process) the isogeny class of the
elliptic curve [0, -1, 0, -13808832780322, -19750744373708998160]. This
isogeny class should be called something like we240672Z, but people should
be able to call it up from the label 240672Z.
Until we know all elliptic curves of conductor 240672 and it becomes
something like we240672cn through John's scheme.
When we know all elliptic curves with conductor less than or equal to
240672 then we can drop the prefix. Until then, someone curious about
where this curve (with analytic order of sha 361) came from should
probably be able to ask me.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10581#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To post to this group, send email to [email protected].
To unsubscribe from this group, send email to
[email protected].
For more options, visit this group at
http://groups.google.com/group/sage-trac?hl=en.
