Ships...?
I never actually thought of a precise number of ships. 
But, don't think wrong of me... I'll do the math right now!

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1- Aeonas has 8 fleets, five of which are for colonial security.
2- Each fleet has one to two dreadnoughts, plus one flag ship.
3- Each fleet has fire power of two times the number of Class-A ships, with those included.
4- Each dreadnought, according to Mass effect wiki, has the kinetic energy of about 38 kilotons of TNT.
5- Each fleet has a fire power around 76 to 152 kilotons of TNT, without counting the flag ships (which usually don't engage directly the enemy) and class-C interceptor units and individual cruisers..
6- ????
7- Aeonas should have 8-16 Class-A ships for sure, 48-96 class B ships, and unidentified number of small class C cruisers.
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Aeonas should have around two hundred space-ships armed for war directly under the control of the navy.