1964 is a dragon right ? Am I linked to the rabbit? But still a dragon?

I was born February 8 , 1964 .1964 is the dragon? But yet I’m a rabbit. But rabbit is from 1963 ! So my question why am I a rabbit? I’m 1964 the year of the dragon right ? I’m very confused. Can you explain this to me ? Am I still dragon? This is stupid I know. But please can you explain this.?