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Izvorni znanstveni članak
https://doi.org/10.3336/gm.47.2.04

Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank

Mirela Jukić Bokun ; Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek, Croatia

Puni tekst: engleski, pdf (114 KB) str. 277-284 preuzimanja: 401* citiraj
APA 6th Edition
Jukić Bokun, M. (2012). Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank. Glasnik matematički, 47 (2), 277-284. https://doi.org/10.3336/gm.47.2.04
MLA 8th Edition
Jukić Bokun, Mirela. "Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank." Glasnik matematički, vol. 47, br. 2, 2012, str. 277-284. https://doi.org/10.3336/gm.47.2.04. Citirano 17.10.2021.
Chicago 17th Edition
Jukić Bokun, Mirela. "Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank." Glasnik matematički 47, br. 2 (2012): 277-284. https://doi.org/10.3336/gm.47.2.04
Harvard
Jukić Bokun, M. (2012). 'Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank', Glasnik matematički, 47(2), str. 277-284. https://doi.org/10.3336/gm.47.2.04
Vancouver
Jukić Bokun M. Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank. Glasnik matematički [Internet]. 2012 [pristupljeno 17.10.2021.];47(2):277-284. https://doi.org/10.3336/gm.47.2.04
IEEE
M. Jukić Bokun, "Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank", Glasnik matematički, vol.47, br. 2, str. 277-284, 2012. [Online]. https://doi.org/10.3336/gm.47.2.04

Sažetak
For each of the torsion groups Z/2Z Z/10Z, Z/2Z Z/12Z, Z/15Z we find the quadratic field with the smallest absolute value of its discriminant such that there exists an elliptic curve with that torsion and positive rank. For the torsion groups Z/11Z, Z/14Z we solve the analogous problem after assuming the Parity conjecture.

Ključne riječi
Elliptic curve; torsion group; rank; quadratic field

Hrčak ID: 93941

URI
https://hrcak.srce.hr/93941

Posjeta: 594 *