Getting started

To use Hecke, a julia version of 1.0 is necessary (the latest stable julia version will do). Please see https://julialang.org/downloads/ for instructions on how to obtain julia for your system. Once a suitable julia version is installed, use the following steps at the julia prompt to install Hecke:

julia> using Pkg

julia> Pkg.add("Hecke")

Here is a quick example of using Hecke to define a number field and compute its class group::

julia> using Hecke

julia> Qx, x = QQ["x"];

julia> f = x^2 - 2*3*5*7;

julia> K, a = number_field(f, "a");

julia> OK = maximal_order(K);

julia> C, mC = class_group(OK);

julia> C
(Z/2)^2