The modal verb mögen

Notes on the Konjunktiv II form möchte

1. The form of the modal verb in the Konjunktiv II expresses a real and present time wish; this means that the function of möchte is equivalent to that of a verb in the present tense indicative.

2. However, when we want to express a wish that refers to the past, we use the modal verb wollen.

3. The modal verb wollen also expresses a wish in the present time, one, however, that, compared to möchte, is stronger and less polite.

4. möchte can also be used as a full verb to express a polite wish. 

In this case, it takes an accusative object or is combined with a dass-clause.