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Endomorphism Rings and Isogenies Classes for Drinfeld Modules of Rank 2 Over Finite Fields
Let be a Drinfeld -module of rank 2, over a finite
field , a finite extension of degrees of a finite field with
elements . Let be the extension degrees of over the
field , is the -characteristic of
, and the degree of the polynomial . We will discuss about a many
analogies points with elliptic curves. We start by the endomorphism ring of a
Drinfeld -module of rank 2, End, and we specify
the maximality conditions and non maximality conditions as a
-order in the ring of division End, in the next point we will interested
to the characteristic polynomial of a Drinfeld module of rank 2 and used it to
calculate the number of isogeny classes for such module, at last we will
interested to the Characteristic of Euler-Poincare and we will
calculated the cardinal of this ideals.Comment: 1
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