Torsion groups of a family of elliptic curves over number fields
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 161-171

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We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form $E\colon y^2 = x^3 +c$, where $c$ is an integer.
We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form $E\colon y^2 = x^3 +c$, where $c$ is an integer.
DOI : 10.21136/CMJ.2018.0214-17
Classification : 11R04, 14H52
Keywords: torsion group; elliptic curve; number field
Dey, Pallab Kanti. Torsion groups of a family of elliptic curves over number fields. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 161-171. doi: 10.21136/CMJ.2018.0214-17
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