The increase of electric vehicles has exacerbated the need for adequate security measures in the electric vehicle charging ecosystem (EVCE). Integrating IT services into the electric vehicle charging infrastructure exposes it to several new attack vectors. In this paper, we apply a vulnerability analysis method to assess the current security posture of the internet-connected EVCE components. Our method is based on penetration testing principles using open-source cybersecurity search engines. Using this method, we gathered security-related information apparently associated with eight charging station vendors and three management systems, and we found 13 vulnerable technologies containing 81 vulnerabilities. Based on the information provided by vulnerability databases, we classified the threats according to the STRIDE model and analyzed the potential consequences of the vulnerabilities in terms of the security properties that can be violated.