Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields
Kim, Jung Soo
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 129-131 / Harvested from Project Euclid
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In this paper, we introduce the notion of the simplest cubic fields, and the associated elliptic curves, hyperelliptic curves. Next, we compute ranks of the elliptic curves by using hyperelliptic curves.
Publié le : 2000-11-14
Classification:  Elliptic curve,  hyperelliptic curve,  cyclic cubic field,  ideal class group,  11R16,  11R29,  11Y40,  11G05 
@article{1148393425,
     author = {Kim, Jung Soo},
     title = {Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 129-131},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393425}
}

Kim, Jung Soo. Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  129-131. http://gdmltest.u-ga.fr/item/1148393425/