Re: Rank of an elliptic curve

Max Alekseyev on Fri, 26 Aug 2011 23:28:06 +0200

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Re: Rank of an elliptic curve

To: Charles Greathouse <charles.greathouse@case.edu>
Subject: Re: Rank of an elliptic curve
From: Max Alekseyev <maxale@gmail.com>
Date: Sat, 27 Aug 2011 01:27:58 +0400
Cc: pari-users@pari.math.u-bordeaux1.fr
Delivery-date: Fri, 26 Aug 2011 23:28:06 +0200
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? ?ellanalyticrank
ellanalyticrank(e, {eps}): returns the order of vanishing at s=1 of the
L-function of the elliptic curve e and the value of the first non-zero
derivative. To determine this order, it is assumed that any value less than eps
is zero. If no value of eps is given, a value of half the current precision is
used.

For older version of GP, there is a script at
http://www.math.u-bordeaux.fr/~belabas/pari/scripts/index.html

Max

On Sat, Aug 27, 2011 at 12:06 AM, Charles Greathouse
<charles.greathouse@case.edu> wrote:
> Can GP compute the rank of an elliptic curve?
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
>

References:
- Rank of an elliptic curve
  - From: Charles Greathouse <charles.greathouse@case.edu>

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