Summary: The amplitude of a Feynman graph in quantum field theory is related to the point-count over finite fields of the corresponding graph hypersurface. This article reports on an experimental study of point counts over \(\mathbb{F}_q\) modulo \(q^3\), for graphs up to loop order \(10\). It is found that many of them are given by Fourier coefficients of modular forms of weights \(\leq 8\) and levels \(\leq 17\).