Most student credit cards are designed for students with no credit history, but your situation is different. I can advise you to look into bad credit cards and secured cards categories.
Make sure you understand the terms of the card and use it wisely. Paying off your balance and never using more than 7-10% of your credit limit will help you to grow your credit score much faster.
Here are several handpicked decent options for you to consider:
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This unsecured card requires no deposit and can help build your credit
Receive opportunities for credit line increases, a fee may apply
See if you Pre-Qualify in less than 60 seconds
Receive 1% cash back on eligible purchases, terms apply
$0-$99 annual fee
$45 annual fee
$0 first-year fee
reports to credit agencies
24 days grace period
unsecured card offer after 12 months
Obviously, you should pay all bills on time. Every time.