I'm not sure I fully understand what you mean by monthly cycle date. But if you are referring to your account limits, you can click on My Account (the head icon) and the basic overview of your account's limits shall appear
Further, you may also go to My Account > Usage or visit https://www.jotform.com/myaccount/usage
If you are wondering when the restart of your counter happens, this takes effect on every 1st day of every month. So if your account gets temporarily suspended due to overlimits, it will only be reactivated on the next month.
Hope this clarifies your concerns. If this is not what you mean, please let us know.