2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79288In a previous paper \cite{BorGunn}, we defined the space of toric forms $\TTT(l)$, and showed that it is a finitely generated subring of the holomorphic modular forms of integral weight on the congruence group $Γ_1(l)$. In this article we prove the following theorem: modulo Eisenstein series, the weight two toric forms coincide exactly with the vector space generated by all cusp eigenforms f such that $L(f,1) \not = 0$. The proof uses work of Merel, and involves an explicit computation of the intersection pairing on Manin symbols.14 pp., 1 figure, AMS-LaTeXNumber TheoryAlgebraic Geometry11F11, 11F25, 14M25text