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- Ernst-Ulrich Gekeler, Rita Leitl, Bodo Wack
- Math. Comput.
- 1999

We show how to calculate the zeta functions and the orders |X| of Tate-Shafarevich groups of the elliptic curves with equation Y 2 + XY = X3 + αX2 + const · T−k over the rational function field Fq(T ), where q is a power of 2. In the range q = 2, k ≤ 37, α ∈ F2[T−1] odd of degree ≤ 19, the largest values obtained for |X| are 472 (one case), 392 (one case)… (More)

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