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Mordell-Weil groups of elliptic curves induced by Diophantine triples (CROSBI ID 528729)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Dujella, Andrej Mordell-Weil groups of elliptic curves induced by Diophantine triples // 25th Journees Arithmetiques / Cremona, John ; Greaves, George ; Smyth, Chris (ur.). Edinburgh: University of Edinburgh, 2007. str. 11-12-x

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

Povezanost rada

Matematika