"Source: Text/Geometry/CrvHyp.text";
"Line: 4612";
"Date: Fri Sep 26 09:12:34 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/CrvHyp.text, line: 4612
// Example: H137E33 ()
print "Example: H137E33";
ei := GetEchoInput();
SetEchoInput(true);
R<x> := PolynomialRing(Rationals());
C := HyperellipticCurve(x^6-x^4, 1);
J := Jacobian(C);
SetVerbose("MordellWeilGroup", 1); // so we can see what is going on
MordellWeilGroup(J);
G, m := $1;
pts := Points(J : Bound := 1); #pts;
[pt @@ m : pt in pts];
forall{i : i in [1..#pts] | m($1[i]) eq pts[i]};
SetEchoInput(ei);
