Re: CONSTRUCTING ELLIPTIC CURVES OF PRESCRIBED ORDER

Bill Allombert on Thu, 28 May 2020 13:15:59 +0200

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Re: CONSTRUCTING ELLIPTIC CURVES OF PRESCRIBED ORDER

To: pari-users@pari.math.u-bordeaux.fr
Subject: Re: CONSTRUCTING ELLIPTIC CURVES OF PRESCRIBED ORDER
From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
Date: Thu, 28 May 2020 13:15:57 +0200
Delivery-date: Thu, 28 May 2020 13:15:59 +0200
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On Thu, May 28, 2020 at 09:21:02AM +0200, Michael Hortmann wrote:
> There is an algorithm by Bröker/Stevenhagen for constructing elliptic
> curves of prescribed order. Has anybody seen an implementation for Pari/gp?
> (Or another computer algebra system)?

Could you give a reference to the algorithm ?
Is it based on complex-multiplication theory ?
 
Cheers,
Bill.

Follow-Ups:
- Re: CONSTRUCTING ELLIPTIC CURVES OF PRESCRIBED ORDER
  - From: Michael Hortmann <michael.hortmann@gmail.com>
- Re: CONSTRUCTING ELLIPTIC CURVES OF PRESCRIBED ORDER
  - From: Andreas Enge <andreas.enge@inria.fr>

References:
- CONSTRUCTING ELLIPTIC CURVES OF PRESCRIBED ORDER
  - From: Michael Hortmann <michael.hortmann@gmail.com>

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