Aleksandr Lenin on Thu, 19 Mar 2020 14:30:54 +0100
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Re: Tower field extensions in libPARI
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- To: pari-users@pari.math.u-bordeaux.fr
- Subject: Re: Tower field extensions in libPARI
- From: Aleksandr Lenin <aleksandr.lenin@cyber.ee>
- Date: Thu, 19 Mar 2020 15:30:52 +0200
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- Delivery-date: Thu, 19 Mar 2020 14:30:54 +0100
- In-reply-to: <20200319123341.yffy2cpe3bg73cqb@yellowpig>
- References: <8439fd2f-5de5-8c40-40e3-0164714d335a@cyber.ee> <20200318153135.cyk6g6jntun7jcub@yellowpig> <595ca16f-603a-158f-3506-0782b4c63136@cyber.ee> <301f6f24-9f2a-2154-a7d6-a9303852ed4f@cyber.ee> <CAD0p0K4ca6R5WJSb94hAno7WCuOG7DsOKhbKmQy_9KZ-p65-Kw@mail.gmail.com> <1efe5576-231a-dd0e-7430-ced589f4ebfa@cyber.ee> <CAD0p0K6wdpoio8Xmnhft+_P+6eWt=D99XBMm3Toy15P1ZXvLaQ@mail.gmail.com> <20200319123341.yffy2cpe3bg73cqb@yellowpig>
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Bill,
On 3/19/20 2:33 PM, Bill Allombert wrote:
>
> a=ffgen((x^2+1)*Mod(1,11),'a);
> Ea=ellinit([0,1],a);
> [r,m]=ffextend(a,x^6 + (a + 3),'b);
> Eb=ellinit(ffmap(m,Ea[1..5]),r);
> ellcard(Eb)
> %12 = 3138424833600
> mi=ffinvmap(m);
> minpoly(ffmaprel(mi,r))
> %14 = x^6+(a+3)
am I getting it right that the proper way to build such an elliptic
curve is to use T_FFELT elements instead of FpX/FpXQ-s, and my approach
towards it was incorrect?