That's a nice looking Luger.
If the frame matches the top half,,they're Mauser mfg. The year date code (1940 if I see it correctly in the pic) was the last year they used the full year on the German Military contract IIRC. Starting in 1941 they switched to just the last 2 digits on the chamber ring on the Military contract pistols.
I think you might see a full '1941' on a commercial contract pistol,,then the toggle would have had the Mauser commercial logo stamped on it.
The toggle assembly is WW2 Mauser military mfg also,,just a bit later mfg.
It's in early 1941 when Mauser changed they're military code marking on the Luger toggle from 'S/42',,to '42' and finally to 'byf'.
I think the '42' toggle code was only used on (19)41 dated pistols.
The 'byf' on (19)41 and 42 dated Lugers.
Somewhat confusing but it does show the main parts of your pistol are mid-WarII Mauser mfg. They are strong pistols and make excellent shooters.
The original magazine for a 1940 mfg Mauser would have most likely had an aluminum base,, or a chance perhaps a newer (at that time) plastic base. 1940 was about time they were switching over to plastic for grips and mag bases to conserve aluminum for the war effort.
The older style wooden base magazines were made into the 1930's IIRC as aluminum bases then took over.
The older wooden base mags are a collectors interest in themselves and can go for $100+ themselves depending on condition for the plain Army issue.
Navy issue, German commercial (no serial number), Swiss, Dutch contract can go for more,,sometimes alot more for the Navy & contract mags.
The rounded curve of the bottom base on your wooden base mag looks a bit different than what I can remember. But there are so many variations, commercial contracts, foreign contracts, etc, in those early production pistols that just about any slight variation is possible.
The nickled(?) mag looks postwar mfg w/ the 2 base pins,,perhaps an Erma Mfg replacement. They usually have a tiny 'Erma' marking stamped into them. Hard to tell from the pic.
There were quite alot of post war replacement mags made as the pistols were used/reissued around the world. I've got a couple made in Denmark and a few others that I can only guess but they are not the usual bubble-pak replacement mag sold now.
Of those new replacement mags,,I';ve had great results with the Meg-gar Luger replacement mag, though the mag spring in them is a real bear for me w/o the loading tool.
I use them alot to save wear on the costly originals.
Have fun!
You need a flap holster now...