A note on the shimura subgroup of J0(p)

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Let J0(p) be the Jacobian of the modular curve X0(p). The group of connected components of its Néron model is cyclic, and has two special generators. One comes from the cuspidal group, the other from the Shimura subgroup. We compute their ratio, answering a question raised by B. Mazur (Inst. Hautes Etudes Sci. Publ. Math. 47, 1977, 33-186).

Original languageAmerican English
Pages (from-to)100-107
Number of pages8
JournalJournal of Number Theory
Issue number1
StatePublished - Jan 1994


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