How to cite "Crelle's Journal" Crelle's Journal is a nickname of a Mathematics Journal, and it's full name is "Journal für die reine und angewandte Mathematik". It's commonly called Crelle since it is founded in 1826 by August Leopold Crelle. 

Now I want to cite a paper in Crelle, but I realize that in the official page they also include (Crelle Journal) in the citation information, for an example see here. On the other hand, some mathematicians once told me that it is "pretty weird" to see the nickname being used. 

So my question is, is it common to include (Crelle) in the citation? Or, how official is the name Crelle's journal?
I usually see "J. Reine Angew. Math." without "Crelle".

MathSciNet has citation information in the form of BibTeX entries; for references indexed there, I recommend going with that. (Indeed if you use BibTeX you can just download the bibliographic information without writing it out again.)