thank you for your question.
You are student and therefor egilible for free membership (study membership).
But you can only apply for free membership if your income for 2015 not exceeds kr. 215.020.
If you apply as a student you can have free membership as long as you study.
When you graduate remember to tell the A-kasse that you want to change status to "Graduate".
Then you will be egilible for benetfits according to the special rule for graduates.
Please read more at http://a-kasser.dk/graduates/
If your income exceeds kr. 215.020 you should apply for normal membership.
This include that you have to be member for one year before being egilible for benefits.
Please read more at http://a-kasser.dk/benefits.html