#13436: Elliptic Curve Enumeration by height
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Reporter: spice | Owner: spice
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-5.4
Component: elliptic curves | Resolution:
Keywords: Elliptic curves, enumeration | Work issues:
Report Upstream: N/A | Reviewers:
Authors: Simon Spicer | Merged in:
Dependencies: | Stopgaps:
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Description changed by was:
Old description:
> 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.
New description:
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.
https://github.com/haikona/CBH
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13436#comment:2>
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