On the rational cuspidal subgroup and the rational torsion points of Jo(pq)

For two distinct prime numbers p, q, we compute the rational cuspidal subgroup C(pq) of J0(pq) and determine the l-primary part of the rational torsion subgroup of the old subvariety of J0(pq) for most primes l.Some results of Berkoviˇc on the nontriviality of the Mordell-Weil group of some Eisen...

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Bibliographic Details
Main Authors: Chua, Seng Kiat, Ling, San
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/94568
http://hdl.handle.net/10220/7617
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Institution: Nanyang Technological University
Language: English
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Summary:For two distinct prime numbers p, q, we compute the rational cuspidal subgroup C(pq) of J0(pq) and determine the l-primary part of the rational torsion subgroup of the old subvariety of J0(pq) for most primes l.Some results of Berkoviˇc on the nontriviality of the Mordell-Weil group of some Eisenstein factors of J0(pq) are also refined.