We prove that the number of immediate descendants of order $p^10$ of SG_p$ is
not PORC (Polynomial On Residue Classes) where $G_p$ is the $p$-group of order
$p^9$ defined by du Sautoy's nilpotent group encoding the elliptic curve
$y^2=x^3-x$. This has important implications for Higman's PORC conjecture.