Geodesic
Torsion Points on Certain Families of Elliptic Curves
Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 157-160

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DOI

Fix an elliptic curve ${{y}^{2}}\,=\,{{x}^{3}}\,+\,Ax\,+\,B$ , satisfying $A,\,B\,\in \,\mathbb{Z},\,A\ge \,\left| B \right|\,>\,0$ . We prove that the $\mathbb{Q}$ -torsion subgroup is one of $(0),\,\mathbb{Z}/3\mathbb{Z},\,\mathbb{Z}/9\mathbb{Z}$ . Related numerical calculations are discussed.
DOI : 10.4153/CMB-2003-016-6
Mots-clés : 11G05 
Wieczorek, Małgorzata. Torsion Points on Certain Families of Elliptic Curves. Canadian mathematical bulletin, Tome 46 (2003) no. 1, pp. 157-160. doi: 10.4153/CMB-2003-016-6
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     author = {Wieczorek, Ma{\l}gorzata},
     title = {Torsion {Points} on {Certain} {Families} of {Elliptic} {Curves}},
     journal = {Canadian mathematical bulletin},
     pages = {157--160},
     year = {2003},
     volume = {46},
     number = {1},
     doi = {10.4153/CMB-2003-016-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2003-016-6/}
}
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