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- W2508581812 abstract "Abstract A 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." @default.
- W2508581812 created "2016-09-16" @default.
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- W2508581812 date "2014-06-01" @default.
- W2508581812 modified "2023-09-25" @default.
- W2508581812 title "On the torsion group of elliptic curves induced by <i>D</i>(4)-triples" @default.
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- W2508581812 doi "https://doi.org/10.2478/auom-2014-0033" @default.
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