Elliptic curves and primality proving, Mathematics of Computation, vol.61, issue.203, pp.6129-68, 1993. ,
DOI : 10.1090/S0025-5718-1993-1199989-X
URL : https://hal.archives-ouvertes.fr/inria-00075302
Can we avoid tests for zero in fast elliptic-curve arithmetic? http, 2006. ,
Explicit-formulas database ,
Analysis and optimization of elliptic-curve single-scalar multiplication, 2007. ,
DOI : 10.1090/conm/461/08979
Faster Addition and Doubling on Elliptic Curves, Advances in Cryptology ? ASIACRYPT 2007, pp.29-50, 2007. ,
DOI : 10.1007/978-3-540-76900-2_3
Inverted Edwards Coordinates, Lecture Notes in Comput. Sci, vol.4851, pp.20-27, 2007. ,
DOI : 10.1007/978-3-540-77224-8_4
Isogeny cycles and the Schoof- Elkies-Atkin algorithm, Research Report LIX/RR, vol.96, 1996. ,
A normal form for elliptic curves, Bulletin of the American Mathematical Society, vol.44, issue.03, pp.393-422, 2007. ,
DOI : 10.1090/S0273-0979-07-01153-6
Generalized Weber functions, 2009. ,
Isogeny Volcanoes and the SEA Algorithm, Algorihmic Number Theory 5th International Symposium , ANTS-V, pp.276-291, 2002. ,
DOI : 10.1007/3-540-45455-1_23
Universal Bounds on the Torsion of Elliptic Curves, Proceedings of the London Mathematical Society, vol.3, issue.2, pp.193-237, 1976. ,
DOI : 10.1112/plms/s3-33.2.193
Speeding the Pollard and elliptic curve methods of factorization, Mathematics of Computation, vol.48, issue.177, pp.243-264, 1987. ,
DOI : 10.1090/S0025-5718-1987-0866113-7
Computing the cardinality of CM elliptic curves using torsion points, Journal de Th??orie des Nombres de Bordeaux, vol.19, issue.3, pp.663-681, 2007. ,
DOI : 10.5802/jtnb.607
Implementing the asymptotically fast version of the elliptic curve primality proving algorithm, Mathematics of Computation, vol.76, issue.257, pp.493-505, 2007. ,
DOI : 10.1090/S0025-5718-06-01890-4
URL : https://hal.archives-ouvertes.fr/hal-00004136
Die singulären Werte der Weberschen Funktionen f, f 1, J. Reine Angew. Math, issue.2 2, pp.286-28746, 1976. ,
Weber's class invariants revisited, Journal de Th??orie des Nombres de Bordeaux, vol.14, issue.1, pp.325-343, 2002. ,
DOI : 10.5802/jtnb.361
The arithmetic of elliptic curves, Grad. Texts in Math, vol.106, 1986. ,
Constructing elliptic curves over finite fields with prescribed torsion, 2008. ,
Factorization of polynomials over finite fields, Pacific Journal of Mathematics, vol.12, issue.3, pp.1099-1106, 1962. ,
DOI : 10.2140/pjm.1962.12.1099