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Ohta, Masami

Eisenstein ideals and the rational torsion subgroups of modular Jacobian varieties. II. (English) Zbl 1332.11061

Tokyo J. Math. 37, No. 2, 273-318 (2014).
In Part I of this work [J. Math. Soc. Japan 65, No. 3, 733–772 (2013; Zbl 1318.11081)] the author determined the rational torsion subgroup of the modular Jacobian variety \(J_1(N)\), up to \(2\)-torsion, for a prime number \(N \geq 5\). In this paper, the \(p\)-primary part of the rational torsion subgroup of \(J_0(N)\) is determined, where \(N\) is square-free, and, \(p\) is an odd prime such that either \(p \neq 3\) or \(3 \nmid N\).
Reviewer: Salman Abdulali (Greenville)

Cited in 2 Reviews
Cited in 22 Documents

MSC:

11G18 Arithmetic aspects of modular and Shimura varieties
11F11 Holomorphic modular forms of integral weight
14G05 Rational points
14G35 Modular and Shimura varieties

Keywords:

modular Jacobian variety; rational torsion subgroup; Eisenstein ideal

Citations:

Zbl 1318.11081
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\textit{M. Ohta}, Tokyo J. Math. 37, No. 2, 273--318 (2014; Zbl 1332.11061)
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