On the rational cuspidal subgroup and the rational torsion points of $J_0(pq)$
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- by Seng-Kiat Chua and San Ling PDF
- Proc. Amer. Math. Soc. 125 (1997), 2255-2263 Request permission
Abstract:
For two distinct prime numbers $p$, $q$, we compute the rational cuspidal subgroup $C(pq)$ of $J_0(pq)$ and determine the $\ell$-primary part of the rational torsion subgroup of the old subvariety of $J_0(pq)$ for most primes $\ell$. Some results of Berkovič on the nontriviality of the Mordell-Weil group of some Eisenstein factors of $J_0(pq)$ are also refined.References
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Additional Information
- Seng-Kiat Chua
- Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore
- Email: matchua@nus.sg
- San Ling
- Affiliation: Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore
- Email: matlings@nus.sg
- Received by editor(s): September 8, 1995
- Received by editor(s) in revised form: March 10, 1996
- Additional Notes: The authors would like to thanks Ken Ribet for private communication. We are also grateful to the referee for comments which helped improve the presentation of the paper.
- Communicated by: William W. Adams
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2255-2263
- MSC (1991): Primary 11G18, 11F03, 11F20, 14H40
- DOI: https://doi.org/10.1090/S0002-9939-97-03874-4
- MathSciNet review: 1396972