According to Cambridge Dictionary:
broken: damaged, no longer able to work:
My watch is broken.
So, in English, you can use the adjective broken when you want to say that something is no longer working.
In Spanish, literal translation would be roto that according to RAE:
roto, ta:
Del participio de romper; latín ruptus.
adj. Andrajoso y que lleva rotos los vestidos. U. t. c. s.
adj. Agotado o muy cansado.
And from WordReference (Diccionario de la lengua española © 2005 Espasa-Calpe):
roto:
p. p. irreg. de romper.
- adj. Que está quebrado o partido en dos o más partes.
- Averiado, que ha dejado de funcionar.
- Andrajoso, que lleva la ropa rota.
So you may say:
"Mi tarjeta está rota"
But being more accurate:
"Mi tarjeta está averiada"
Said so, the status of your card is indicated, but not necessarily the fact that your card has stopped working, so you can use the word trabajar that means according to RAE:
trabajar
- Ocuparse en cualquier actividad física o intelectual.
- Tener una ocupación remunerada en una empresa, una institución, una institución, etc.
^ Translation: Have a paid occupation in a company, an institution, an institution, etc. (related to job)
- Ejercer determinada profesión u oficio.
- Dicho de una máquina: funcionar
^ Translation: Said of a machine: work
And funcionar is a synonym for trabajar, that means (from RAE):
- Dicho de una persona, de una máquina, etc.: Ejecutar las funciones que le son propias.
^ Translation: Execute the functions that are his own.
Note that the verb funcionar is more adapted to the concept that something has stopped fulfilling its role or function
In this way, when you want to say that something is no longer working or broken, you can say:
Mi tarjeta ya no trabaja.
Mi tarjeta ya no funciona.
Or use some other conjugation according to the context:
Mi tarjeta ha dejado de trabajar.
Mi tarjeta ha dejado de funcionar.
Or use both meanings to be clearer in the meaning:
Mi tarjeta esta rota y ya no funciona.
Mi tarjeta esta rota y ya no trabaja.
I am assuming that the term "card" refers to a physical object with a specific function such as a video card (electronic), since for "card", in other meanings, it hardly fits the fact that "a card is working" and therefore can not stop doing it.