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- W3102303608 abstract "The possible torsion groups of elliptic curves induced by Diophantine triples over quadratic fields, which do not appear over Q, are Z/2Z x Z/10Z, Z/2Z x Z/12Z and Z/4Z x Z/4Z. In this paper, we show that all these torsion groups indeed appear over some quadratic field. Moreover, we prove that there are infinitely many Diophantine triples over quadratic fields which induce elliptic curves with these torsion groups." @default.
- W3102303608 created "2020-11-23" @default.
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- W3102303608 date "2016-11-29" @default.
- W3102303608 modified "2023-09-27" @default.
- W3102303608 title "On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields" @default.
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- W3102303608 doi "https://doi.org/10.1007/s13398-016-0356-5" @default.
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