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

Patrick Morton

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arXiv · 2207.14144

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

Patrick Morton

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Abstract

A computational proof is given for congruences modulo $p$ for the class equation $H_{-28p}(X)$, 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 $4$).

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Patrick Morton. 2022-07-28. Explicit congruences for the class equations $H_{-7p}(X)$ and $H_{-28p}(X)$. https://arxiv.org/abs/2207.14144

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