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On the rational cuspidal subgroup and the rational torsion points of |
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| Authors: | Seng-Kiat Chua San Ling |
| Institution: | Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore ; Department of Mathematics, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260, Republic of Singapore |
| 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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