"Source: Text/Geometry/CrvEllQNF.text";
"Line: 590";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/CrvEllQNF.text, line: 590
// Example: H133E5 ()
print "Example: H133E5";
ei := GetEchoInput();
SetEchoInput(true);
E := EllipticCurve([0, 0, 0, -73705, -7526231]);  
SilvermanBound(E);
SiksekBound(E);   
E := EllipticCurve([0, 0, 1, -6349808647, 193146346911036]);
SilvermanBound(E);
SiksekBound(E);
E := EllipticCurve([1, 0, 0, -5818216808130, 5401285759982786436]);
SilvermanBound(E);
SiksekBound(E);
T := E![ 1402932, -701466 ];
Order(T);
assert $1 eq 2;
SiksekBound(E : Torsion := true);
P := E![ 14267166114 * 109, -495898392903126, 109^3 ];
NaiveHeight(P) - Height(P);    
NaiveHeight(P + T) - Height(P);                      
SetEchoInput(ei);
