C := CremonaDatabase(); intrinsic tam(N1::RngIntElt, N2::RngIntElt) { Compute dimension of 2-selmer group for all elliptic curves with conductor between N1 and N2, and write the result to a file named 2selmer_N1-N2. } F := Open(Sprintf("tam_%o-%o", N1, N2),"w"); for N in [N1..N2] do for i in [1..NumberOfIsogenyClasses(C, N)] do t := Cputime(); E := EllipticCurve(C, N, i, 1); c := &*[TamagawaNumber(E,p[1]) : p in Factorization(N)]; r := Rank(E); fprintf F, "%o\t%o\t%o\t%o\n", N, i, r, c; Flush(F); end for; end for; end intrinsic;