There is no exact science as to what credit score you'll need to successfully apply for any Chase credit card because your credit score isn't the only factor the bank considers. We've written about what scores are needed for the Chase Sapphire Preferred, the Chase Freedom Flex/Freedom Unlimited and the Chase Sapphire Reserve cards.
That being said, having a score of at least 700 will give you the best chances of being approved for the top chase credit cards. Of course, it's possible to be approved with a slightly lower score; it's just not as likely.