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The thing about applying for any card of any type is that you are judged by several factors when determining whether or not you will be approved for a card, not just your current credit score. Your credit rating still says a lot about you though, and it will be one of the most important things that will help the issuer make that determination. Because this is a high end credit card, Chase is probably looking for applicants with scores that are considered to be good or excellent credit range, so your score should be over 720. The card can be applied for by filling out an application online.