If you are a spouse or child of a Japanese National, you have the choice of either:
1) Applying for a student visa, or 2) Applying for a "Spouse or Child of a Japanese National visa".
Regarding the application procedure, consult the Japanese embassy or consulate in your country directly.
A Certificate of Eligibility is not required for a 2)"Spouse or Child of a Japanese National visa".
Although the application procedure for a 2)"Spouse or Child of a Japanese National visa" is simpler than 1) Applying for a student visa, if entering Japan with the latter visa, you need to surrender various advantages provided to International students.