A note on the shimura subgroup of J0(p)

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Abstract

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 languageEnglish
Pages (from-to)100-107
Number of pages8
JournalJournal of Number Theory
Volume46
Issue number1
DOIs
StatePublished - Jan 1994

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