History of Modular polynomials for $\gamma_2=\sqrt[3]{j}$

 Title: Modular polynomials for $\gamma_2=\sqrt[3]{j}$-Definition: Let $j$ be HREF{Q-expansion_of_the_j-invariant}[the modular $j$-invariant].-  The function $\gamma_2$ is the branch with $\gamma_2(\tau)^3=j(\tau)$ and $\gamma_2(\tau)=q^{-1/3}(1+O(q))$.-  Listed is the monic minimal polynomial of $\gamma_2(\ell\tau)$ over $\mathbb Q(\gamma_2(\tau))$,-  written $\Phi^{\gamma_2}_\ell(x,y)\in\mathbb Z[x,y]$ with $y=\gamma_2(\tau)$.+Definition: Let $\gamma_2$ be the branch with $\gamma_2(\tau)^3=j(\tau)$ and $\gamma_2(\tau)=q^{-1/3}(1+O(q))$,+  where $j$ is the modular $j$-invariant. The entry is the monic minimal polynomial+  of $\gamma_2(\ell\tau)$ over $\mathbb Q(\gamma_2(\tau))$. Parameters:   ell:

     constraints: $\ell$ is prime and $\ell\ne3$ Comments:-  comment-normalisation: The polynomial is normalised so that the coefficient of $x^{\ell+1}$-    is $1$.+  comment-normalisation: The polynomial lies in $\mathbb Z[x,y]$ and is normalised+    so that the coefficient of $x^{\ell+1}$ is $1$.   comment-variables: The variable $x$ is the value at $\ell\tau$, and $y$ is the value     at $\tau$; for the rows in this table each polynomial is symmetric, $\Phi^{\gamma_2}_\ell(x,y)=\Phi^{\gamma_2}_\ell(y,x)$.