Mordell-Weil groups of elliptic curves induced by Diophantine triples (CROSBI ID 528729)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Dujella, Andrej
engleski
Mordell-Weil groups of elliptic curves induced by Diophantine triples
We study the possible structure of the groups of rational points on elliptic curves of the form y^2=(ax+1)(bx+1)(cx+1), where a, b, c are non-zero rationals such that the product of any two of them is one less than a square. We show that there are exactly four types of possible torsion groups, and construct curves with rank equal to r, for r ≤ 9.
elliptic curves; Diophantine triples
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Podaci o prilogu
11-12-x.
2007.
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objavljeno
Podaci o matičnoj publikaciji
25th Journees Arithmetiques
Cremona, John ; Greaves, George ; Smyth, Chris
Edinburgh: University of Edinburgh
Podaci o skupu
25th Journees Arithmetiques
predavanje
02.07.2007-07.07.2007
Edinburgh, Ujedinjeno Kraljevstvo