anomalous anomalous These prime field curves have the same order as the field order. Some are from https://dspace.jaist.ac.jp/dspace/bitstream/10119/4464/1/73-61.pdf. brainpool brainpool ECC Brainpool Standard Curves and Curve Generation v. 1.0 19.10.2005 nist nist RECOMMENDED ELLIPTIC CURVES FOR FEDERAL GOVERNMENT USE July 1999 secg secg SEC 2: Recommended Elliptic Curve Domain Parameters version 2.0 January 27, 2010 anssi anssi Agence nationale de la sécurité des systèmes d'information: Publication d'un paramétrage de courbe elliptique visant des applications de passeport électronique et de l'administration électronique française. 21 November 2011 GOST gost GOST R 34.10-2001: RFC5832 x962 x962 ANSI X9.62 example curves. Barreto-Naehrig bn Barreto-Naehrig curves from: A Family of Implementation-Friendly BN Elliptic Curves - https://eprint.iacr.org/2010/429.pdf. MNT mnt MNT (Miyaji, Nakabayashi, and Takano) example curves from: New explicit conditions of elliptic curve traces for FR-reduction - https://dspace.jaist.ac.jp/dspace/bitstream/10119/4432/1/73-48.pdf. other other An assortment of some other curves. invalid invalid Invalid curves and points on them for common standard named curves. twist twist Points on quadratic twists of common standard named curves. degenerate degenerate Points on degenerate curves for common standard named curves. cofactor cofactor Curves of order n * p, with p prime and n in {2,4,8,16,32,64,128}. Generator of order p, with points on the subgroup of order n. composite composite Composite order curves, with points of very small order pre-generated. Also curves with order of a product of two large primes. wrong wrong Wrong field curves and other wrong parameters. These should definitely give an error when used. Since the "prime" used for the field is not prime, and the field polynomials are also not irreducible. Simply put these parameters don't specify a valid elliptic curve. test test Test vectors wycheproof wycheproof Test cases from google Wycheproof project: https://github.com/google/wycheproof supersingular supersingular Some supersingular curves, over F_p with order equal to p + 1. misc misc Miscellaneous data.