Yes it would be a convertible.

I am 63 and I have always owned a convertible.

1. 54 Chevy convertible
2. 57 Chevy convertible
3. 61 Buick convertible
4. 51 MG TD (still have this one)
5. 64 230SL
6. 91 300SL (still have this one)
7. 25 Stutz roadster (preservation in process)