  In 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
$\Gamma_1(l)$. 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.
