the items to be cooked into and from the container ie the frying fat the cooking vessel 10 in accordance with fig1 comprises as a container a pot 12 in which the heating device 11 and a receptacle 13 for introducing and removing the items to be cooked into or from the frying fat are accommodated the receptacle 13 is preferably a basket made from wire through the wall sections of which the liquid frying fat can flow and which is hung loose on the upper open end 14 of the receptacle 13 so that it can be introduced into and removed from the frying fat the heating device 11 is located between the floor 17 of the pot 12 and the floor 18 of the receptacle 13 ie the basket the heating device 11 comprises a circular current conduction sleeve 19 in the following referred to as conduction sleeve 19 for short spaced apart from the floor 17 of the pot 12 in which a heating element 20 and a conveyance device 21 following the heating element 20 ie between the heating element 20 and the floor spaced apart from the heating element 20 are accommodated the heating element 20 is an electrically powered heating rod which is bent in a serpentine shape and the cross section of which is in the form of a circular disc ie round the outer diameter of the heating element 20 is of proportions which mean that the heating element 20 can be introduced into the interior space of the conduction.