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arXiv · 2510.15820

Double-orientations on supersingular isogeny graphs

Do Eon Cha·Imin Chen
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Abstract

We recall and define various kinds of supersingular $\ell$-isogeny graphs and precise graph isomorphism with a corresponding quaternion $\ell$-ideal graph. In particular, we introduce the notion of double-orientations on supersingular elliptic curves and study the structure of double-oriented supersingular $\ell$-isogeny graphs.

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Do Eon Cha, Imin Chen. 2025-10-17. Double-orientations on supersingular isogeny graphs. https://arxiv.org/abs/2510.15820

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