A bank complying with the minimum capital stock requirements specified in subdivision nine of section four thousand one of this chapter may become a trust company by filing a certificate pursuant to subdivision two of section eight thousand one of this chapter to provide that it shall have the powers specified in section one hundred of this article. A trust company may become a bank by filing a certificate pursuant to subdivision two of section eight thousand one of this chapter to provide that it shall not have the powers specified in section one hundred of this article. Prior to or simultaneously with the filing of such certificate, such trust company shall if its title contains the term "trust company" file a certificate pursuant to subdivision two of section eight thousand one of this chapter for the purpose of omitting such term from its title.