for a beam ship(especially in the magneto-plasma era!), that's pretty slow. What's the multiplier on your engines?
I like that you managed to get up to xray, but have you considered spinal mounting? You can get a big laser that hits hard that way, and shrink your overall size with having one biug laser rather than 3 smaller lasers. Plus, at your cap, it's not too hard of a hit to recharge!
For comparison, here's my laser corvette in my current game:
Astral Mk-3 class Corvette 2,500 tons 76 Crew 695.4 BP TCS 50 TH 270 EM 0
7200 km/s Armour 5-16 Shields 0-0 Sensors 1/1/0/0 Damage Control Rating 1 PPV 9
Maint Life 5.34 Years MSP 296 AFR 29% IFR 0.4% 1YR 17 5YR 260 Max Repair 135 MSP
Intended Deployment Time: 1 months Spare Berths 4
Stardust-120 Fast-Flow Plasma Drive (3) Power 120 Fuel Use 130.9% Signature 90 Exp 15%
Fuel Capacity 245,000 Litres Range 13.5 billion km (21 days at full power)
Jake Industries 30cm-R20 Laser (1) Range 240,000km TS: 7200 km/s Power 24-6 RM 4 ROF 20 24 24 24 24 19 16 13 12 10 9
Raxon 120000-7500 Beam Targeting (1) Max Range: 240,000 km TS: 7500 km/s 96 92 88 83 79 75 71 67 62 58
T&G Power P6-S1 Reactor (1) Total Power Output 6 Armour 0 Exp 5%
ADT 23-100 Radar (1) GPS 2100 Range 23.1m km Resolution 100
This design is classed as a Military Vessel for maintenance purposes
I have a high output engine on this design, so that only 3 send me about 66% faster than your design. Granted, I don't have nearly your range, but these still serve well in both attack and defense, and you can't argue with 24 damage(remember about shock damage added in 6.30! Something that hits 24 does a heck of a lot more additional shock damage as something that hits only ten, even though your design does do more overall damage with 3 lasers to my one).
Additionally, I actually have more armor layers on this, but I'm almost 500 tons smaller than your design. How I did this was simply maximizing my space. Well, I also have carrier support for these corvettes, but they don't strictly speaking NEED carrier support....