## Cryptology ePrint Archive: Report 2018/132

ON ISOGENY GRAPHS OF SUPERSINGULAR ELLIPTIC CURVES OVER FINITE FIELDS

Abstract: We study the isogeny graphs of supersingular elliptic curves over finite fields, with an emphasis on the vertices corresponding to elliptic curves of $j$-invariant 0 and 1728.

Category / Keywords: foundations / Supersingular isogeny graphs