This method was implemented by Simon Spicer in Sage and is available as the
function analytic_rank_upper_bound() attached to an elliptic curve. e.g.
sage: E = EllipticCurve('5077')
sage: E.analytic_rank_upper_bound()
3
so there is no need to try to use psage. Simon's implementation is also
more general than mine and probably better, though I haven't actually used
it myself much.
There also exists some simple C++ code that I wrote, e.g. at
https://github.com/jwbober/psage/blob/master/psage/ellcurve/xxx/ which
doesn't need anything from sage, and just relies on smalljac, but it is
less straightforward to use and requires manually specifying values of a_p
at bad primes. (Without the rankbound.pyx file, you should be able to build
a standalone binary from that directory, but I haven't done this in a while
so I don't guarantee anything.)
As for PARI/GP, well, sure, that would be nice, but that's not anything I'm
going to work on anytime soon. It shouldn't be too hard to write something
simple.
On Thu, Mar 30, 2017 at 4:28 PM, <[email protected]> wrote:
> there is an article written by jonathan bober for conditionally upper
> bound for rank of elliptic curves. based on bsd conjecture and as i know it
> is implemented in psage , but i dont know how to use it. i registered in
> psage but can any body say me how to use it ? it also would be very nice to
> use it in pari / gp
> thanks
>
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