#19145: Rigorously computing analytic ranks of elliptic curves (for ranks < 4)
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Reporter: mkovesi | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.9
Component: elliptic curves | Resolution:
Keywords: elliptic curves | Merged in:
analytic rank sd69 | Reviewers:
Authors: Michelle Kovesi | Work issues:
Report Upstream: N/A | Commit:
Branch: u/mkovesi/19145 | b18ef23bd0902070fa357979ba3667b18fba2d32
Dependencies: | Stopgaps:
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Changes (by mkovesi):
* commit: => b18ef23bd0902070fa357979ba3667b18fba2d32
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.
> 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.
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".
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Comment:
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=b18ef23bd0902070fa357979ba3667b18fba2d32
b18ef23]||{{{Added provable functionality to analytic rank
computation.}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/19145#comment:7>
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