"Source: Text/Geometry/Lseries.text";
"Line: 361";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/Lseries.text, line: 361
// Example: H139E7 ()
print "Example: H139E7";
ei := GetEchoInput();
SetEchoInput(true);
E := EllipticCurve([0,1,1,0,0]);
Conductor(E);
assert $1 eq 43;
L:=LSeries(E);
Evaluate(L, 1);
Evaluate(L, 1 : Derivative:=1);
Rank(E) + Rank(QuadraticTwist(E,-1));
assert $1 eq 2;
K := QuadraticField(-1);
EK := BaseChange(E, K);
L := LSeries(EK);
Evaluate(L, 1);
Evaluate(L, 1 : Derivative:=1) lt 10^-20;
assert $1;
Evaluate(L, 1 : Derivative:=2);
SetEchoInput(ei);
