[KSCI] Korea Science Citation Index Service

Jeon, Daeyeol (Department of Mathematics Education Kongju National University)

Publication Information

Abstract

In this paper, we give a new method to get defining equations of modular curves $X_1(2N)$ which show the moduli problems.

Keywords

Defining equations; Modular curves; Elliptic curves;

Citations & Related Records

1	H. Baaziz, Equations for the modular curve $X_1(N)$ and models of elliptic curves with torsion points, Math. Comp. 79 (2010), 2371-2386. DOI ScienceOn
2	D. Husemoller, Elliptic curves, Second edition, Springer-Verlag, New York, 2004.
3	N. Ishida and N. Ishii, Generators and defining equation of the modular function field of the group ${\Gamma}_1(N)$ , Acta Arith. 101 (2002), 303-320. DOI ScienceOn
4	D. Jeon, C.H. Kim and Y. Lee, Families of elliptic curves over cubic number fields with prescribed torsion subgroups, Math. Comp. 80 (2011), 579-591.
5	M. A. Reichert, Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields, Math. Comp. 46 (1986), 637-658. DOI ScienceOn
6	Y. Yang, Defining equations of modular curves, Adv. Math. 204 (2006), 481-508. DOI ScienceOn

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