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The generating functions of stationary descendent Gromov-Witten invariants ofan elliptic curve are known to be Fourier expansions of quasimodular forms.When one restricts to the subspace of forms of a fixed weight $k$, there is anabundance of linear relations among these generating functions. This naturallyleads one to study the resulting linear matroid, which we refer to as thedescendent matroid of weight $k$. In the case of weight 12, we use this matroidto compute and organize all of the ways to express the discriminant modularform in terms of stationary descendents. As a consequence, we find aclosed-form expression of Ramanujan tau values in terms of Gromov-Witteninvariants of an elliptic curve. All computations were aided with the use ofSage, and the classes and functions written in Sage are discussed in theappendix.

Stationary Descendents and the Discriminant Modular Form