Dataset Open Access
Enric Florit; Gerard Finol
This database contains a collection of data on graphs of supersingular elliptic curves. It contains all graphs for characteristic up to 30,000 and isogeny degrees 2 through 11, and a basic list of invariants for each graph. This will be expanded to include some examples for larger characteristic and also new invariants. A long-term goal is to list examples for higher genera, and to give substantial evidence to discover behavior in such cases.
Tables and visualizations
To consult the tables with the graph invariants, we recommend you to visit our website isogenies.enricflorit.com.
Description of the dataset
The dataset contains one folder for each prime p between 13 and 29989. Each folder contains:
The data has been generated using Sagemath and Lithops. The code is available in our github repo github.com/gfinol/IsogenyGraph.
Arpin, Sarah et al. (2019). Adventures in Supersingularland, arXiv:1909.07779.
Sampe, Josep et al. (2020). Towards Multicloud Access Transparency in Serverless Computing, DOI 10.1109/MS.2020.3029994.