Assuming that LWH then you could get away with 1/4" but it'll bow a bit, rimless would IMO be stretching it with 1/4" but you could do rimless with 3/8" outer walls and 1/4" bottom.
My formula for all sumps anymore is 1/4" bottom, 3/8" outer walls, and 1/4" baffles except make "pressure baffles" 3/8" (where you have a water level difference on either side of the baffle). Rimless is OK to maybe 16" and after that, a 1/4" thick 1.5" wide perimeter euro (for smaller sumps, <30g) and maybe a 2" crossbrace if it works with the baffle placement. Bumping up the euro width is good when you can swing it, the wider/longer the tank, the wider the euro.
Baffle placement is a big factor, if you have a long fuge/skimmer section that has to be factored in, baffles provide a ton of support when done right (bonded in at the same time as ends so your bonds are structural) and can reduce the dependency on the euro