A∞-algebras associated with elliptic curves and Eisenstein-Kronecker series

We compute the -structure on the self- algebra of the vector bundle G over an elliptic curve of the form , where and are line bundles of degrees 0 and 1, respectively. The answer is given in terms of Eisenstein-Kronecker numbers . The -constraints lead to quadratic polynomial identities between these numbers, allowing to express them in terms of few ones. Another byproduct of the calculation is the new representation for by rapidly converging series.