I can not edit a form on my android.

The mobile app. doesn't appear to provide for it, and the web browser version sends me to the login page. So I login and it takes me back to the "My Forms" page. The cycle then repeats.

If I understood you correctly you are trying to edit your form on Android and you are not able to do it. 

I have tested one of my form on my Samsung Galaxy S4 and I was able to edit my form. 

Are you using JotForm's Android app?

I would suggest you to clear your form cache and browser cache on android. 

http://www.tech-recipes.com/rx/5663/android-how-to-clear-browser-cache-history-form-data-andor-cookies/ 

Hope this will help. Let us know if you need further assistance.