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
Weber's class invariants, Mathematika, vol.45, issue.02, pp.283-294, 1969. ,
DOI : 10.2307/1970494
A classical invitation to algebraic numbers and class fields. Universitext, 1978. ,
Erläuterungen zu den vorstehenden Fragmenten, Bernhard Riemann's gesammelte mathematische Werke und wissenschaftlicher Nachlaß, pp.438-447 ,
Die Klassenkörper der komplexen Multiplikation, Enzyklopädie der mathematischen Wissenschaften mit Einschluß ihrer Anwendungen, 1958. ,
Comparing Invariants for Class Fields of Imaginary Quadratic Fields, Algorithmic Number Theory 5th International Symposium, ANTS-V, pp.252-266, 2002. ,
DOI : 10.1007/3-540-45455-1_21
Constructing elliptic curves over finite fields using double eta-quotients, Journal de Th??orie des Nombres de Bordeaux, vol.16, issue.3, pp.555-568, 2004. ,
DOI : 10.5802/jtnb.460
URL : http://archive.numdam.org/article/JTNB_2004__16_3_555_0.pdf
Modular curves of composite level, Acta Arithmetica, vol.118, issue.2, pp.129-141, 2005. ,
DOI : 10.4064/aa118-2-3
URL : https://hal.archives-ouvertes.fr/inria-00386309
Courbes algébriques et cryptologie HabilitationàHabilitationà diriger des recherches, 2007. ,
The complexity of class polynomial computation via floating point approximations, Mathematics of Computation, vol.78, issue.266, pp.1089-1107, 2009. ,
DOI : 10.1090/S0025-5718-08-02200-X
URL : https://hal.archives-ouvertes.fr/inria-00001040
Singular values of multiple etaquotients for ramified primes, Technical Report, vol.768375 ,
URL : https://hal.archives-ouvertes.fr/hal-00768375
A Taxonomy of Pairing-Friendly Elliptic Curves, Journal of Cryptology, vol.2, issue.5, pp.224-280, 2010. ,
DOI : 10.1007/s00145-009-9048-z
Class invariants by Shimura's reciprocity law, Journal de Th??orie des Nombres de Bordeaux, vol.11, issue.1, pp.45-72, 1999. ,
DOI : 10.5802/jtnb.238
Generating class fields using Shimura reciprocity, Third International Symposium, ANTS-III, pp.441-453, 1998. ,
DOI : 10.1007/BFb0054883
Class fields by Shimura reciprocity, 2001. ,
Elliptic units of cyclic unramified extensions of complex quadratic fields, Acta Arith, vol.LXIV, pp.69-85, 1993. ,
Unramified elliptic units, 1993. ,
Explicit elliptic units, I. Duke Math, J, vol.90, issue.3, pp.495-521, 1997. ,
DOI : 10.1215/s0012-7094-97-09013-x
URL : http://projecteuclid.org/download/pdf_1/euclid.dmj/1077232812
Bemerkungen zum Satz von Heegner?StarküberStark¨Starküber die imaginär-quadratischen Zahlkörper mit der Klassenzahl Eins, Journal für die reine und angewandte Mathematik, pp.179-214, 1970. ,
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
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
Die singulären Werte der Weberschen Funktionen f, f 1, Journal für die reine und angewandte Mathematik, pp.46-74, 1976. ,
Complex Multiplikation, 2009. ,
Introduction to the Arithmetic Theory of Automorphic Functions, 1971. ,
On the ???gap??? in a theorem of Heegner, Journal of Number Theory, vol.1, issue.1, pp.16-27, 1969. ,
DOI : 10.1016/0022-314X(69)90023-7
Lehrbuch der Algebra, volume III, 1902. ,