How can I persuade an overprotective mother on letting me go to to a sleepover for finishing an project?

Ok, there is this project that me and my two friends are working on. The due date of the project was moved up unexpectedly. So a lot of work has to be crammed which we were planning to do at a sleepover. But, my mother, the only mother who said no won't let me go. She had billion's of reasons why it was such a bad idea from she didn't like the neighbor hood (which she lives on the good side of town), to how she really didn't know the parents, to how I was so untrustworthy. I'm 13, my take on it is. 13 years old do mess up. And I haven't messed up continuously just to lose all of her trust. I haven't had sex before, I don't have a boyfriend, I make good grades, I don't know what else she could really ask of me. This is strictly school work for the most part. I mean all teens will probably take a quick break. But for the most part this isn't a social scene. My mom has met the parent once, and I've spoken to her several times. The lady is a well rounded person. What is your opinion on this situation, what should I say to my mother?