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Torsion groups of elliptic curves over quadratic fields (CROSBI ID 564289)

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

Najman, Filip Torsion groups of elliptic curves over quadratic fields // 9th Colloquiumfest on Algebra and Logic and 8th Czech, Polish and Slovak Conference on Number Theory. 2010. str. 53-53

Podaci o odgovornosti

Najman, Filip

engleski

Torsion groups of elliptic curves over quadratic fields

By Mazur's torsion theorem, all the possible torsion groups of an elliptic curve over the rationals are known. By a result of Kamienny, all the possible torsion groups of an elliptic curve over all quadratic fields are also known. But Kamienny's theorem gives us no information about which torsion groups actually appear for some fixed quadratic field. We examine this problem and, for each torsion group that appears over some quadratic field, find the field with the smallest absolute value of the discriminant such that this group actually appears as torsion of an ellitpic curve. We also examine the number of elliptic curves with perscribed torsion over a fixed quadratic field.

ellipitic curves ; torsion group ; quadratic fields

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Podaci o prilogu

53-53.

2010.

objavljeno

Podaci o matičnoj publikaciji

9th Colloquiumfest on Algebra and Logic and 8th Czech, Polish and Slovak Conference on Number Theory

Podaci o skupu

ALaNT – Joint Conferences on Algebra, Logic and Number Theory

predavanje

21.06.2010-24.06.2010

Bukowina Tatrzańska, Poljska

Povezanost rada

Matematika

Poveznice