Cryptography Seminar

Title: On isogeny graphs of supersingular elliptic curves over finite fields- Part 2

 Abstract: After having defined the supersingular isogeny graph, in this second talk we will give a complete description of the subgraphs corresponding to elliptic curves with trace in -p, 0, p. Then , we will be interested in the number of loops of the vertices with j-invariant 0 and 1728 in the subgraphs of trace -2p or 2p.