The password value needs to be in a single quotation as well like the username part
SqlConnection sqlConnection = new SqlConnection("Data Source=OWNER;Initial Catalog=train-database;Integrated Security=True;Pooling=False");
SqlDataAdapter sda = new SqlDataAdapter("select c_id From [user] Where E_mail = '"+ f3.E_Mail3.Text +"' and password = '"+f3.Password3.Text+"' ", sqlConnection);
DataTable dt = new DataTable();
sda.Fill(dt);
But this code is vulnerable to SQL injection attack and it is really a bad practice to create SQL queries using string concatenation.
It is highly recommended to use SQL parameters.
The following code is not full working code because I am not near my ide but I am sure you can fix it.
SqlConnection sqlConnection = new SqlConnection("Data Source=OWNER;Initial Catalog=train-database;Integrated Security=True;Pooling=False");
SqlCommand command= new SqlCommand("select c_id from [users] where e_mail =@emailparam and password =@passwordparam",sqlConnection);
command.Parameters.Add(new SqlParameter("emailparam",f3.Email.text));
command.Parameters.Add(new SqlParameter("passwordparam", f3.password.text));
SqlDataAdapter sda = new SqlDataAdapter(command);
DataTable dt = new DataTable(); sda.Fill(dt);