Spouses, children, parents/grandparents of EEA national have a right (subject to applying) to live with the EEA national in EEA member states.
Extended family is discretionary only and the key criteria is dependency. This includes financial dependency and where you are dependent upon the EEA national/spouse to care for you because your health would be prejudiced severely if they did not.
The difficult for you is that by applying for, receiving and studying under your student visa you have impliedly demonstrated a high degree of independence because you were here on your own before they came here.
You could work here or elsewhere if you had the necessary permission, therefore you are not financially dependent upon them.
You have no health conditions which require that they care for you, therefore you are not dependent upon them to care for you.
I am very sorry but I cannot see how your application will be sucessful in the current circumstances.
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