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Defining equations of X1(2N)
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In this paper, we give a new method to get defining equations of modular curves X1(2N) which show the moduli problems.
Abstract
In this paper, we give a new method to get defining equations of modular curves X1(2N) which show the moduli problems.
참고문헌 (6)
- H. Baaziz, "Equations for the modular curve X1(N) and models of elliptic curves with torsion points", Math. Comp, 79, pp.2371~2386 (2010)
- D. Husemoller, "Elliptic curves" (2004), Springer-Verlag
- N. Ishida, "Generators and de ning equation of the modular function field of the group Γ1(N)", Acta Arith, 101, pp.303~320 (2002)
- D. Jeon, "Families of elliptic curves over cubic number elds with prescribed torsion subgroups", Math. Comp, 80, pp.579~591 (2011)
- M. A. Reichert, "Explicit determination of nontrivial torsion structures of elliptic curves over quadratic number fields", Math. Comp, pp.637~658 (1986)
- Y. Yang, "Defining equations of modular curves", Adv. Math, 204, pp.481~508 (2006)
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