2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94458We prove that the heavy symmetric top (Lagrange, 1788) linearizes on a two-dimensional non-compact algebraic group -- the generalized Jacobian of an elliptic curve with two points identified. This leads to a transparent description of its complex and real invariant level sets. We also deduce, by making use of a Baker-Akhiezer function, simple explicit formulae for the general solution of Lagrange top.LaTex, 26 pagesExactly Solvable and Integrable SystemsThe complex geometry of Lagrange toptext