This appears to be a problem with CD's SSL verification. Lastpass does hold extended validation.
I append certificate details for lastpass.com (https://lastpass.com/index.php?ac=1
This is the message you get in CD:
The security (or SSL) certificate for this website indicates that the organization operating it may not have undergone trusted third-party validation that it is a legitimate business. Although the information passed between you and this website will be encrypted, you have no assurance of who you are actually exchanging information with, and many websites connected to cyber-crimes use this type of security certificate. Prior to exchanging sensitive information including login/password, personal identity information, or financial details such as credit card numbers with any website that generates this warning, you should find some alternative method of validating this business or consider abandoning the transaction.