"Source: Text/Geometry/ModFrm.text";
"Line: 2497";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/ModFrm.text, line: 2497
// Example: H144E20 ()
print "Example: H144E20";
ei := GetEchoInput();
SetEchoInput(true);
S := CuspidalSubspace(ModularForms(Gamma0(34)));
Relations(S, 4, 20);
// a, b, and c correspond to the cusp forms S.1, S.2 and S.3:
S.1;
S.2;
S.3;
S := CuspidalSubspace(ModularForms(Gamma0(75)));
R := Relations(S, 2, 20); R;
// NOTE: It is much faster to compute in the power 
// series ring than the ring of modular forms!
a, b, c, d, e := Explode([PowerSeries(f,20) : f in Basis(S)]);
a*c - b^2 - d^2 - 4*e^2;
SetEchoInput(ei);
