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 $Y^2 = X^3 + AX$, where $A$ is an integer.
Citation
Jerome T. Dimabayao. "The torsion subgroup of the elliptic curve $Y^2 = X^3 + AX$ over the maximal abelian extension of $\mathbb{Q}$." Funct. Approx. Comment. Math. 63 (2) 137 - 149, December 2020. https://doi.org/10.7169/facm/1826
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