#19145: Rigorously computing analytic ranks of elliptic curves (for ranks 1, 2,
3)
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Reporter: mkovesi | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.9
Component: elliptic curves | Resolution:
Keywords: elliptic curves analytic rank | Merged in:
sd69 | Reviewers:
Authors: Michelle Kovesi | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: |
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Description changed by mkovesi:
Old description:
> This is an improvement to the analytic_rank() function in the Elliptic
> curves over the rational numbers class. The current implementation only
> produces a value that is probably the analytic rank. This ticket is based
> on error bound computations to give a provable value of analytic rank.
>
> I will post code shortly.
New description:
This is an improvement to the analytic_rank() function in the Elliptic
curves over the rational numbers class. The current implementation only
produces a value that is probably the analytic rank. This ticket is based
on error bound computations to give a provable value of analytic rank. The
computations were derived in my MSc thesis, "Proving the weak BSD
conjecture for elliptic curves in the Cremona Database".
I will post code shortly.
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Ticket URL: <http://trac.sagemath.org/ticket/19145#comment:1>
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