My ex and I share joint sole and physical custody of our daughter can we both claim her on our taxes

My daughter spends 50% of the time with me and the other 50% of the time with her dad. We share joint sole and physical custody of her. The arrangement is that she spends 1 week with me and the other with her Dad. (Monday to Monday).

Are we both eligible to claim her on our taxes?

nope you have to take turns you should be able to claim her every other year.