#16773: Analytic Rank Bound
-------------------------------------+-------------------------------------
Reporter: spice | Owner: spice
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: elliptic curves | Resolution:
Keywords: elliptic curves, | Merged in:
analytic rank, l-functions | Reviewers: William Stein
Authors: Simon Spicer | Work issues:
Report Upstream: N/A | Commit:
Branch: | c7797e5d5c44e467ddebd5586bd48c4b093633f6
u/spice/analytic_rank_bound | Stopgaps:
Dependencies: |
-------------------------------------+-------------------------------------
Old description:
> Implement functionality to bound from above the analytic rank of a
> rational elliptic curve. This uses the zero sum method as described in
> [http://msp.org/obs/2013/1-1/obs-v1-n1-p07-s.pdf]. Because this avoids
> computing with the curve's L-function directly, it is often faster than
> traditional analytic rank techniques.
>
> The enhancement also includes functionality to compute more general zero
> sums for an elliptic curve L-function, as well as computing with the
> logarithmic derivative. The elliptic_curves object in Sage has also been
> modified to contain examples of elliptic curves up to rank 28. To this
> end the elliptic_curves spkg has been updated to version 0.8. The
> archived data file can be obtained at
> [https://cloud.sagemath.com/projects/8499bab7-d4a5-4956-acd2-248b5550731d/files/elliptic_curves-0.8.tar.bz2]
New description:
Implement functionality to bound from above the analytic rank of a
rational elliptic curve. This uses the zero sum method as described in
[http://msp.org/obs/2013/1-1/obs-v1-n1-p07-s.pdf]. Because this avoids
computing with the curve's L-function directly, it is often faster than
traditional analytic rank techniques.
The enhancement also includes functionality to compute more general zero
sums for an elliptic curve L-function, as well as computing with the
logarithmic derivative. The elliptic_curves object in Sage has also been
modified to contain examples of elliptic curves up to rank 28. To this end
the elliptic_curves spkg has been updated to version 0.8. The zipped data
file for the spkg can be obtained at
[http://www.math.washington.edu/~mlungu/files/elliptic_curves-0.8.tar.bz2]
--
Comment (by spice):
The elliptic_curves spkg has been updated, and version number incremented
to 0.8. The zipped data file for the spkg can be obtained at
[http://www.math.washington.edu/~mlungu/files/elliptic_curves-0.8.tar.bz2]
--
Ticket URL: <http://trac.sagemath.org/ticket/16773#comment:14>
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 unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
