The aim of the article is to study all endomorphisms of an elliptic curve \(\mathcal{E}\) that are not necessary isogenies (i.e. they are not required to fix the point at infinity). The author proves that the set of such endomorphisms can be endowed of a truss structure. To do that, it first consider the heap structure on the points of the curve defined as \([A,B,C]=A-B+C\). This heap structure weakens the group structure of the curve, which can be obtained by choosing a point \(O\) (usually the point at infinity) and taking \([A,O,B]=A+B\). He then shows that the endomorphisms of the curve \(\mathcal{E}\) corresponds to endomorphisms of this heap. In particular, this endomorphisms form a truss, a heap equipped with a multiplication law that distributes with respect to the heap law. This truss structure weakens the ring structure on the endomorphisms of \(\mathcal{E}\); moreover, the author notices that a choice of a point \(O\) is needed to recover a ring structure. The construction is given first for a curve defined over \(\mathbb{C}\), then for a generic perfect field.