Bill Allombert on Fri, 08 Jun 2012 21:37:45 +0200


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ell from j


Dear PARI developers,

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 ?)

Cheers,
Bill.