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Tamagawa Numbers of elliptic curves with C-13 torsion over quadratic fields (CROSBI ID 247236)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Najman, Filip Tamagawa Numbers of elliptic curves with C-13 torsion over quadratic fields // Proceedings of the American Mathematical Society, 145 (2017), 9; 3747-3753. doi: 10.1090/proc/13553

Podaci o odgovornosti

Najman, Filip

engleski

Tamagawa Numbers of elliptic curves with C-13 torsion over quadratic fields

Let E be an elliptic curve over a number field K, cv the Tamagawa number of E at v, and let cE be the product of all cv. Lorenzini proved that v13(cE) is positive for all elliptic curves over quadratic fields with a point of order 13. Krumm conjectured, based on extensive computation, that the 13- adic valuation of cE is even for all such elliptic curves. In this note we prove this conjecture and furthermore prove that there is a unique such curve satisfying v13(cE) = 2.

elliptic curves ; Tamagawa numbers

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Podaci o izdanju

145 (9)

2017.

3747-3753

objavljeno

0002-9939

1088-6826

10.1090/proc/13553

Povezanost rada

Matematika

Poveznice
Indeksiranost