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A computational proof is given for congruences modulo $p$ for the classequation $H_{-28p}(X)$, when the prime $p$ satisfies $p \equiv 3$ (mod $4$),and for the product $H_{-7p}(X) H_{-28p}(X)$, when $p \equiv 1$ (mod $4$).

Explicit congruences for the class equations $H_{-7p}(X)$ and $H_{-28p}(X)$