I was told by the previous occupant that the phone line is analogue and when I connect a digital phone to the line, it won't work.
I'm assuming that the line must somehow be converted to digital.
I'm not sure what ISDN is, I'm sorry.
ISDN stands for "integrated services digital network", it comes in two varieties "basic rate" and "primary rate". Primary rate is a product for customers with large numbers of lines and is basically irrelevent to home or small buisness users.
Basic rate ISDN provides two 64kbps digital channels that can be used either for voice calls or digital data calls. An ISDN line can also have multiple phone numbers (and there are two different types MSN and DDI depending on what equipment you have).
You can get ISDN phones but they are relatively uncommon and I doubt they are what you have. Normally ISDN is used to connect multi-line PBX (private office phone system) systems to the phone network, it is also sometimes for data transmission but less-so nowadays.
Most phone line based "broadband" services have to be taken with an analogue phone line. AIUI "dry"ADSL (using a pair that isn't used for a phone line at all) exists in theory but seems to be rare in practice and there are also some more expensive products like SDSL that use dedicated lines. There was talk in the early days of ADSL of doing an ISDN+ADSL combination but afaict such services were never introduced in the UK.
As cajar says it sounds like what you have is a digital phone designed to go with a PBX system. Such phones can only be used with a compatible PBX system, they CANNOT be used on lines direct from phone companies.
If there is only going to be one of you then a PBX system probablly won't be worthwhile. If you really need a multi-line phone than an ISDN phone may be an option but the cost will be substantial (IIRC an ISDN line costs just over twice what an analogue line costs and you probablly still need the analogue line as well so you can have your broadband service on it). VOIP may be an option too though reliability can be a concern.
Note: this post was written before I had seen slime's most recent post.