How to create a ext4 partition for all users?

I know it sound like a dublicate questions but I tried the following and it didn't help:

My drive is mounted under

/media/data

so I entered

sudo chown -R :users /media/data

However I still cannot write to that partition as a user.I also tried to make an entry in the /etc/fstab

UUID=... /media/data ext4 rw,suid,dev,exec,auto,user,async 0 0

but after that my computer could not boot anymore because he could not find the disk.

I have Ubuntu 14.04 Server installed. The partition is listed under /dev/nvmeOn1p1and does not appear in the /etc/fstab (see pics below).

(the device is a "Intel DC P3700" 800GB SSD)

Additional Remark: Since the partition is empty i could also format it and recreate it using gparted for example. Is there a way in gparted or other gui programs to specify that the partition should be usable by all users?