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Relations between jacobians of modular curves of level p 2

Imin ChenBart De SmitMartin Grabitz — 2004

Journal de Théorie des Nombres de Bordeaux

We derive a relation between induced representations on the group GL 2 ( / p 2 ) which implies a relation between the jacobians of certain modular curves of level p 2 . The motivation for the construction of this relation is the determination of the applicability of Mazur’s method to the modular curve associated to the normalizer of a non-split Cartan subgroup of GL 2 ( / p 2 ) .

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