No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
I've heard that banks also have their own internal scores. Perhaps if a customer only make minimum payments for a very long time on a large balance, it may lower their score.
Just an educated guess, but I'd think the score considers things like - do you take cash advances? Do you have funds on deposit? What is your stated income? Have you ever missed a payment? And I think they'll soft pull you once in a while to monitor your credit behavior.