BME Address Database ID (BME Címtár in Hungarian) is necessary for the login, which can be reached on this link. The Neptun code and password must be typed on the right side and the Address Database ID will be available. This is an at least five numbers ID in the form of an e-mail address: email@example.com. The password can be changed on the Jelszóváltoztatás link.
If the Address Database ID and password is available, then you can log in on the Bejelentkezés link to the educational framework. The login ID is the numbers Address Database ID and the corresponding password and after clicking on the Belépés button you will be in the Educational Framework.
To get more detailed information, please have a look at this.