"Source: Text/Geometry/Crv.text";
"Line: 926";
"Date: Thu May 12 11:26:16 2022";
"Main: Thu May 25 10:02:38 2023";
// original file: Text/Geometry/Crv.text, line: 926
// Example: H121E2 ()
print "Example: H121E2";
ei := GetEchoInput();
SetEchoInput(true);
A<x,y> := AffineSpace(Rationals(),2);
C := Curve(A,y^2 - (x^2+1)^3);
SingularPoints(C);
HasSingularPointsOverExtension(C);
assert $1;
Qi<i> := QuadraticField(-1);
SingularPoints(C,Qi);             
B<u,v> := BaseChange(A,Qi);
Ci := BaseChange(C,B);
SingularPoints(Ci);
SetEchoInput(ei);
