On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields (CROSBI ID 650626)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Jukić Bokun, Mirela
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. 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. This is joint work with Andrej Dujella and Ivan Soldo.
Elliptic curve ; Quadratic field ; Torsion group ; Diophantine triple
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Podaci o prilogu
2017.
objavljeno
Podaci o matičnoj publikaciji
XXXth Journées Arithmétiques
Podaci o skupu
XXXth Journées Arithmétiques
predavanje
03.07.2017-07.07.2017
Caen, Francuska