A note on the growth of Mordell-Weil ranks of elliptic curves in cyclotomic $\mathbf {Z}_p$-extensions
Matsuno, Kazuo
Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, p. 101-104 / Harvested from Project Euclid
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In this note, we exhibit some examples of elliptic curves whose Mordell-Weil ranks grow in lower layer of the cyclotomic $\mathbf{Z}_p$-extension over the rationals.
Publié le : 2003-05-14
Classification:  Elliptic curve,  Mordell-Weil group,  Iwasawa theory,  $\mathbf {Z}_p$-extension,  11G05,  11R23 
@article{1116443678,
     author = {Matsuno, Kazuo},
     title = {A note on the growth of Mordell-Weil ranks of elliptic curves in cyclotomic $\mathbf {Z}\_p$-extensions},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {79},
     number = {3},
     year = {2003},
     pages = { 101-104},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116443678}
}

Matsuno, Kazuo. A note on the growth of Mordell-Weil ranks of elliptic curves in cyclotomic $\mathbf {Z}_p$-extensions. Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, pp.  101-104. http://gdmltest.u-ga.fr/item/1116443678/