Andreas Enge on Mon, 11 Jun 2012 16:38:59 +0200

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Re: ell from j

On Fri, Jun 08, 2012 at 09:37:39PM +0200, Bill Allombert wrote:
> It has been suggested to add a function to PARI which return an elliptic curve with
> a prescribed j-invariant.
> An example of such function is
> ellfromj(j)=if(j==0,[0,0,0,0,1],if(j==1728,[0,0,0,1,0],[0,0,0,3,2]*(j/(1728-j))));
> How should we call it ? What should it return ? (an ell2,an ell5, a smallell, etc ?)

How about calling it "ellinit", using just a scalar parameter?