What you want is cream with 35%-40% milkfat, and no gelatine or other stabilizers for whipping. If you use a lighter cream, then it will not have the rich, creamy texture, and evenly thick consistency you seek. In fact, if you use a light enough cream, it will not thicken properly.
Now we enter the murky realm of regional naming differences, trying to find the appropriate kind of cream!
In Australia, this would be called pure cream (35-56% milkfat)... which might be the same as "cooking thickened cream." Read the label and make sure it is just cream, not gelatin or foam stabilizers like "thickened cream". It could also be labelled "single cream" too (~35% milkfat).
In America, we call it heavy cream, or heavy whipping cream, and it is defined as 35%+ milkfat, and is generally around 38%.
In the UK, a recipe I found the uses a mixture of milk and "double cream" (cream with 48%+ milkfat). They mix 100 mL whole fat milk + 426 mL of double cream. The final milkfat content is somewhere around 40%.
In the rest of the EU, the same procedure appears to be the best bet, since I can't find clear names for heavier creams besides double cream (which appears to be the same as the UK).
Edit: You may also be able to get a good result using straight double cream. I'm looking at a French recipe that uses it. The catch is, of course, that while the minimum fat content is specified, actual fat content in double cream can vary considerably, potentially giving erratic results.