#13436: Elliptic Curve Enumeration by height
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Reporter: spice | Owner: spice
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.3
Component: elliptic curves | Keywords: Elliptic curves,
enumeration
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Simon Spicer
Merged in: | Dependencies:
Stopgaps: |
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Add functionality to Sage that allows one to enumerate elliptic curves
over Q by height for a range of Weierstrass families of curve.
This code has grown from work with Wei Ho, who desired a way to enumerate
curves over Q by height (where the height of a curve is a function of the
coefficients in its Weierstrass model) so that the average value of some
datum (e.g.rank, 2-Selmer size) could be computed for curves up to a given
height. This code introduces a class, CurveEnumerator(), that computes
lists of curves ordered by height for this purpose.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13436>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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