On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields (CROSBI ID 233360)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Dujella, Andrej ; Jukić Bokun, Mirela ; Soldo, Ivan
engleski
On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields
The possible torsion groups of elliptic curves induced by Diophantine triples over quadratic fields, which do not appear over Q, are Z/2Z × Z/10Z, Z/2Z × Z/12Z and Z/4Z × 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.
Elliptic curve ; quadratic field ; torsion group ; Diophantine triple
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Podaci o izdanju
111 (4)
2017.
1177-1185
objavljeno
1578-7303
1579-1505
10.1007/s13398-016-0356-5