Geodesic
The torsion subgroup of a family of elliptic curves over the maximal abelian extension of $\mathbb {Q}$
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 979-995 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2020.0082-19
Classification : 11R18, 14H52
Keywords: torsion group; elliptic curve; cyclotomic field 
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Dimabayao, Jerome Tomagan. The torsion subgroup of a family of elliptic curves over the maximal abelian extension of $\mathbb {Q}$. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 979-995. doi: 10.21136/CMJ.2020.0082-19

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