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The number of twists with large torsion of an elliptic curve (CROSBI ID 226053)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Najman, Filip
The number of twists with large torsion of an elliptic curve // Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 109 (2015), 535-547. doi: 10.1007/s13398-014-0199-x
Podaci o odgovornosti
Najman, Filip
engleski
The number of twists with large torsion of an elliptic curve
For an elliptic curve E/Q, we determine the maximum number of twists E d /Q it can have such that E d (Q)tors ) E(Q)[2]. We use these results to determine the number of distinct quadratic fields K such that E(K)tors ) E(Q)tors. The answer depends on E(Q)tors and we give the best possible bound for all the possible cases.
elliptic curve ; twists
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Podaci o izdanju
109
2015.
535-547
objavljeno
1578-7303
1579-1505
10.1007/s13398-014-0199-x
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