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Families of elliptic curves over cyclic cubic number fields with prescribed torsion


Author: Daeyeol Jeon
Journal: Math. Comp. 85 (2016), 1485-1502
MSC (2010): Primary 11G05; Secondary 11G18, 14H37
DOI: https://doi.org/10.1090/mcom/3012
Published electronically: August 3, 2015
MathSciNet review: 3454372
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Abstract: In this paper we construct infinite families of elliptic curves with given torsion group structures over cyclic cubic number fields.


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Additional Information

Daeyeol Jeon
Affiliation: Department of Mathematics Education, Kongju National University, Kongju, Chungnam, South Korea
Email: dyjeon@kongju.ac.kr

DOI: https://doi.org/10.1090/mcom/3012
Keywords: Elliptic curve, modular curve, torsion, cyclic cubic number field, cyclic trigonal
Received by editor(s): July 18, 2014
Received by editor(s) in revised form: October 22, 2014
Published electronically: August 3, 2015
Additional Notes: This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2010-0023942)
Article copyright: © Copyright 2015 American Mathematical Society