Does your institution have a designated contact for a current subscription? Ask around! It's usually a faculty member or IT person. If you cannot find a designated contact, please write to us at magma@maths.usyd.edu.au with your permission to pass on your email address to the designated contact; we will do so if there is an active subscription. Otherwise, we will help you to get a subscription started.
Once you have found your designated contact, write to them and provide them with the MAC address of your machine(s). They will provide you with access to installation files and a magmapassfile. (As there is a major release once a year and around 10 patch releases each year we recommend a reinstallation at least once per year.)
For more details, see section F of http://magma.maths.usyd.edu.au/magma/simons_details.