  We describe a system of plane algebraic curves defined over \Z, attached
naturally to the exponential function. On of these is a remarkable curve of
degree 6 that has genus equal to 1. As the sectic curve has rational points, it
is an elliptic curveand can be tranformed over \Q into the curve 1584.j1 of the
LMFDB. One is left to wonder what the number 11, appearing in the factorisation
1584=2^4.3^2.11 has to do with the exponential function.
