On the torsion group of elliptic curves induced by D(4)-triples
2014 ◽
Vol 22
(2)
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pp. 79-90
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AbstractA D(4)-m-tuple is a set of m integers such that the product of any two of them increased by 4 is a perfect square. A problem of extendibility of D(4)-m-tuples is closely connected with the properties of elliptic curves associated with them. In this paper we prove that the torsion group of an elliptic curve associated with a D(4)-triple can be either ℤ/2ℤ × ℤ/2ℤ or ℤ/2ℤ × ℤ/6ℤ, except for the D(4)-triple {−1, 3, 4} when the torsion group is ℤ/2ℤ × ℤ/4ℤ.
2014 ◽
Vol 17
(1)
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pp. 282-288
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2012 ◽
Vol 08
(05)
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pp. 1231-1246
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2020 ◽
Vol 16
(06)
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pp. 1307-1323
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2015 ◽
Vol 100
(1)
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pp. 33-41
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2010 ◽
Vol 13
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pp. 370-387
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