Most every ammunition manufacturer makes one or other of three weights of bullet in FMJ for this old stager. The usuals are 120gr, 139gr and 140gr, although there ARE heavier bullets - out to 185gr or so, although they are not a target round. Your rifle being older might prefer the heavier end of the trio, since that is what it was made for in the fust place. The Swedes settled on a 140gr at the beginning of the 1940's, BTW, having begun back in the mid-1890's with a 156gr bullet. Unless arsenal modified - easily detectable by looking at the butt-disc, foresight and rear sight - your rifle will be regulated for the 139gr bullet.
You might consider sticking to a near-original load with your m/96. Many modern loads are made for rifles with newer metallurgy, and stronger actions, and might eventually cause problems in your rifle. This is only a generalisation though, since I only have an old rifle -1898 - and would like to keep it in good condition until it's time for my widow to sell it on.
I'm sure that the real experts will be reading this now, and shaking their heads sadly.
tac
1989 Carl Gustaf m/96 #896.
PS - Over in Finnmark in 1990 I dropped a bull elk at 70m with a single shot from a m/38 with open sights. The bullet was the Norma hunting round of the day in 140gr. The elk weighed just over 1200 pounds.
