On elliptic curves induced by rational Diophantine quadruples (CROSBI ID 302542)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Dujella, Andrej ; Soydan, Gökhan
engleski
On elliptic curves induced by rational Diophantine quadruples
In this paper, we consider elliptic curves induced by rational Diophantine quadruples, i.e. sets of four nonzero rationals such that the product of any two of them plus 1 is a perfect square. We show that for each of the groups Z/2Z × Z/kZ for k = 2, 4, 6, 8, there are infinitely many rational Diophantine quadruples with the property that the induced elliptic curve has this torsion group. We also construct curves with moderately large rank in each of these four cases.
Diophantine quadruples ; elliptic curves ; torsion group ; rank
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Podaci o izdanju
98 (1)
2022.
1-6
objavljeno
0386-2194
10.3792/pjaa.98.001