I am not sure of the dimensions of your tank, but we can assume it's either a 6' 100g or a 4' 90g or a 4' 120g. The numbers won't be that much different, but I'll use the higher weight values as a demonstration of what you're actually supporting. So, if you do the math on a 120g (4x2x2) tank, you come up with something like this:
For a 120g (4'):
-Estimated weight 1200lbs (10lbsx120g to include the tank and stand). Approximately 150lbs/sq ft
-18" or 16" on center on 3 joists = 400lbs per joist
-18" or 16" on center on 4 joists = 300lbs per joist
For a 125g (6')
-Estimated weight 1250lbs - approximately 139lb/sq ft
-In this case, it will cover 4 or 5 joists
-18" or 16" on center on 4 joists = 312lbs per joist
-18" or 16" on center on 5 joists = 250lbs per joist
-Disclaimer: this does not account for subflooring to distribute the weight (which it will) over several joists. Actual weight per joist will likely be lower.
-Also, based on the gallons of your tank, it will be ~20% less. I chose these standard tanks because they provide a worst case scenario.
-Did not account for the load bearing wall below, as I didn't have enough information about placement, etc. That would only further serve to less the load on the joists for the demonstration here.
In all, I think the answer is that it's no problem. However, only you know your house. We are just trying to give perfect world scenarios that fit your situation.