Hi FireInTheDark,
I did some google for your modem brand. The majority of references with the exact model are for pages of your country and Finland. However, visiting
ZyXEL, I discovered there are 2 types of 645 series modem: one is the pppoe (ppp over ethernet) and the other is pppoa (ppp over atm). I would suggest you visit this link and download the manuals, if you don't have them, to identify your modem. Once you identify it, you have to install "rp-pppoe" if your modem is pppoe. I don't know the package name of the software you need if your modem is pppoa because, in my side of the planet, I never saw one of it. But, a careful reading of the documents and some google will help you put your linux on line.
Good luck!