The Steinitz Class of the Mordell–Weil Group of Some CM Elliptic Curves

Autor:	Wendy L. Miller, David S. Dummit
Jazyk:	angličtina
Předmět:	Isogeny Elliptic curve point multiplication Elliptic curve Pure mathematics Algebra and Number Theory Mathematics::Number Theory Mathematical analysis Schoof's algorithm Invariant (mathematics) Weil group Twists of curves Supersingular elliptic curve Mathematics
Zdroj:	Journal of Number Theory. (1):52-78
ISSN:	0022-314X
DOI:	10.1006/jnth.1996.0005
Popis:	Explicit complex multiplications for some elliptic curves with CM by[formula]are given and used to determine the O -module structure of the Mordell-Weil groups of the curves over[formula]. The Steinitz class of these modules is determined and in particular shown not to be an isogeny invariant.
Databáze:	OpenAIRE
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