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