@Armin ****
every office will seem to apply some variant of the rules, but you do not need to have any number of reports done before you can request a residency certificate. We got our first one while on a tourist visa after less than a week after arriving.
You will need a copy of your TM30 though and a passport photo, along with a copy of you passport and a copy of the page(s) in your passport with your visa.