Do JotForms hurt or help SEO?

I'm wondering if you have any input or tips that could help with my conversions. Does Google penalize pages with embedded forms?

I don't think Google shall penalize page for the forms being embedded on your web pages. I have found the following article from Aweber that might help with your question though it is a . 

https://blog.aweber.com/email-marketing/4-ways-to-avoid-googles-mobile-sign-up-form-penalty.htm

Please check if that helps. Thanks!