Abstract
Let K = ¥q(T the rational function field over the finite field ¥q (T: indeterminate), and A=¥q[T]. For a non-zero ideal n of A, we can define a smooth proper geometrically connected curve X0(n) over K, called the Drinfeld modular curve of Hecke type with conductor n. In this article, we define the Eisenstein quotient J of the Jacobian variety / of Jf0(n) for n maximal and investigate its arithmetic properties. One of the main results is as follows :
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