A remarkable eelliptic curve
Abstract
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.
Fields of Study & Subjects
History and Theory of Mathematics
Publication details
- Journal / source
- Journal of Singularities
- Volume
- 30
- Publication date
- 1 January 2026
- Language
- EN