On the rational cuspidal subgroup

and the rational torsion points of

Authors:
Seng-Kiat Chua and San Ling

Journal:
Proc. Amer. Math. Soc. **125** (1997), 2255-2263

MSC (1991):
Primary 11G18, 11F03, 11F20, 14H40

MathSciNet review:
1396972

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Abstract | References | Similar Articles | Additional Information

Abstract: For two distinct prime numbers , , we compute the rational cuspidal subgroup of and determine the -primary part of the rational torsion subgroup of the old subvariety of for most primes . Some results of Berkovic on the nontriviality of the Mordell-Weil group of some Eisenstein factors of are also refined.

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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

DOI:
http://dx.doi.org/10.1090/S0002-9939-97-03874-4

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

Article copyright:
© Copyright 1997
American Mathematical Society