Re: Game: find the curve

[American Citizen <website.reader3@gmail.com>]

Thanks Denis for that nice hint.

Now I understand a bit more what Bill and Henri are doing.

Very interesting that that the rank 1 curve point was found.

- Randall

On 4/16/24 06:55, Denis Simon wrote:
> Hi Randall,
>
> Call [x,y] the coordinates of your point.
> The question is to find a linear relation between |y^2,x*y,y,x^3,x^2,x,1].
> The function lindep does the job.
>
> Denis.
>
>
> ----- Mail original -----
> > De: "American Citizen" <website.reader3@gmail.com>
> > À: "pari-users" <pari-users@pari.math.u-bordeaux.fr>
> > Envoyé: Mardi 16 Avril 2024 02:26:11
> > Objet: Re: Game: find the curve
> > Bill:
> >
> > I don't know whether to feel thankful or not. The point you list has
> > 5498 digits for the numerator and  8246 for the denominator and I
> > honestly don't know how to move forward on this question.
> >
> > Obviously you and Henri Cohen and a select few others know what is going on.
> >
> > Could you please share?
> >
> > Thank you!
> >
> > Randall
> >
> > On 4/11/24 14:09, Bill Allombert wrote:
> > > Dear PARI lovers,
> > >
> > > I have a small game for you (dedicated to Randall)
> > > Below is a point on a an elliptic curve over Q.
> > > Find the curve!
> > > This is part of a new project with Henri.
> > >
> > > Enjoy!
> > > Bill