ON THE RANK OF SOME FAMILIES OF ELLIPTIC-CURVES WITH GIVEN MODULAR INVARIANT

Authors
MESTRE JF
Citation
Jf. Mestre, ON THE RANK OF SOME FAMILIES OF ELLIPTIC-CURVES WITH GIVEN MODULAR INVARIANT, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(8), 1998, pp. 763-764
Citations number
3
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
327
Issue
8
Year of publication
1998
Pages
763 - 764
Database
ISI
SICI code
0764-4442(1998)327:8<763:OTROSF>2.0.ZU;2-0
Abstract
In this Note, we announce several results concerning the rank of some families of elliptic curves with given invariants, in particular ellip tic curves with a rational point of order 2, 4 or 8, and elliptic curv es with complex multiplications. (C) Academie des Sciences/Elsevier, P aris.