The direction of the joist could make a large difference. In the case where the joists run parallel to the short side of the aquarium, load will be distributed over more joists which will provide more support. In the case where the joists run parallel to the long side of the aquarium, the load will not span over as many joists with more load on each spanned joist.
Say the joists are spaced 18" apart (not typical, but makes math easier) and you want to have a 18"X36" aquarium. If the joists run parallel to the long side, the aquarium would either have the front and back resting on a joist each or there would only be one joist supporting the aquarium with the front and back being supported by the floor spanning between the joists. If the joists were running parallel to the short side, the minimum number of supporting joists would be 2 while you could have the center and both ends of the aquarium stand supported by a joist if positioned perfectly. Of course, this has less effect when you are close to the wall, since the wall will end up taking most of the load due to lower moments.