The torsion subgroup of a family of elliptic curves over the maximal abelian extension of $\mathbb{Q}$

Autor: Dimabayao, Jerome Tomagan
Jazyk: angličtina
Předmět:
Druh dokumentu: Non-fiction
ISSN: 0011-4642
Abstrakt: Abstract: We determine explicitly the structure of the torsion group over the maximal abelian extension of $\mathbb{Q}$ and over the maximal $p$-cyclotomic extensions of $\mathbb{Q}$ for the family of rational elliptic curves given by $y^2 = x^3 + B$, where $B$ is an integer.
Databáze: Katalog Knihovny AV ČR