"Source: Text/Geometry/Lseries.text";
"Line: 3478";
"Date: Thu Sep 25 14:47:45 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Geometry/Lseries.text, line: 3478
// Example: H139E44 ()
print "Example: H139E44";
ei := GetEchoInput();
SetEchoInput(true);
E := EllipticCurve([ 0, 0, 0, 0, 1]); // Mordell curve
P<x> := PolynomialRing(Integers());
K := NumberField(x^3-2);
LE := LSeries(E);
LK := LSeries(K);
L := TensorProduct(LE, LK, []) / LE;
CFENew(L);
EK := BaseChange(E,K);
p := Decomposition(MaximalOrder(K),2)[1,1];
LocalInformation(E,2);
loc, model:=LocalInformation(EK,p);loc,model;
TraceOfFrobenius(Reduction(model, p));
assert $1 eq 0;
L := TensorProduct(LE,LK,[<2,4,1+2*x^2>])/LE;
CFENew(L);
SetEchoInput(ei);
