No email is sent when an attempt was made to login with the wrong password.
Logging in with the wrong password is logged in the Account History as "Failed Login Attempt"
Logging in with the correct password (or hash? TBD) from a new IP triggers the email and that's logged in the Account History as "Login Verification Email Sent"
Logging in with the wrong password is logged in the Account History as "Failed Login Attempt"
Logging in with the correct password (or hash? TBD) from a new IP triggers the email and that's logged in the Account History as "Login Verification Email Sent"