Elliptic curves are fundamental mathematical objects obeying two-variable equations in which the square of one variable relates to the third power of another. Wondering whether elliptic curves might stand for the abstract counterpart of biological activities, we identified a correspondence between the two-dimensional plots of various elliptic curves and the electric waves detectable on the cortical surface by scalp EEG techniques. Specifically, the patterns described by the intersection of elliptic curves’ three-dimensional contour plots and the two-dimensional projective plane overlap in a few terms of milliseconds with the patterns displayed by two-dimensional cortical EEG wave fronts. Hence, elliptic curvelike mathematical structures might correspond to the dynamical shapes produced by the real brain activity recorded from subjects performing various tasks. We suggest that, apart from the usual applications in physics and cryptography, elliptic curves might theoretically disclose possible equations subtending the anatomical and functional neural routes endowed in the central nervous system.