How to auto mount an ssh file system on demand with an RSA key

I am trying to auto mount a folder from my raspberry pi (/home/pi/server_folder), to a local folder (/home/my_name/raspberrypi). I can do this with sshfs (auto mount in fstab) when I set up a blank rsa key, but when I try to use an actual key, like 123, the raspberry pi filesystem wont mount. This is pretty obvious, since I have to supply the passphrase, but is there a way to have it ask for the passphrase when I first try to access /home/my_name/raspberrypi, or do something similar to that? Because if someone gets my laptop, they dont need to put a password or anything in to get access to my raspberry pi, if I leave the rsa key blank. I have looked into autofs, and autosshfs, but autosshfs won’t download, and autofs doesn’t explain how to mount with an actual rsa key (well, I haven’t found a guide on how to). I’m using arch Linux, latest version. Here is the fstab entry:

ssh public key auth: first login still asks for a password

I have set up public key authentication with ssh, but what happens, is that when I first log in, it still asks for a password, any subsequent login (while keeping the first login alive), does not ask for a password. I am not aware of any settings that produce such a behavior. Anybody any ideas why I am prompted for a password the first time?