2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76137An abelian variety admits only a finite number of isomorphism classes of principal polarizations. The paper gives an interpretation of this number in terms of class numbers of definite Hermitian forms in the case of a product of elliptic curves without complex multiplication. In the case of a self-product of an elliptic curve, as well as in the two-dimensional case, classical class number computations can be applied to determine this number.Algebraic GeometryNumber Theory14K05;11G10text