Anyone know their rights if something like this happens to them?

Just got a letter this morning - It was from a company called Capital Edge. I have a domain name, and this company sent me a letter saying that they have rights over this domain name, and that they want me to immediately transfer this domain name over to them.

Thing is that I have many domain names, and plan to open businesses with all of them in the future. You won't find me selling any of them on the internet. I need to know what options do I have? I'm not, ever going to simply hand this over when I have personal plans for it once I finish my degree. They claim to have some prior right to it, when I'm fairly certain that I have more rights to it, since I registered it first, lol.

Any help would be appreciated.

You registered it, tell them if they want it then they have to pay for it!!!

Don't let them bully you!!!!

The thing is that it's not a .co.uk domain, but a .eu extension. The company itself has been trading in the UK.

Okay, forget this. I'm just going to tell the truth - That I registered the domain name. That it's mine. That I have plans for it. That I am not after "money". That they have no rights to this domain name. That if they want it, come get it, cause I'll annihilate them.