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Let A be an abelian variety over a number field F and A_
its dual. B. Birch and
P. Swinnerton-Dyer, interested in defining the Tamagawa number (A) of A, were led to their
celebrated c...
Let f and g, of weights k′ > k 2, be normalised newforms for Γ0(N), for square-free N > 1, such that, for each Atkin-Lehner involution,the eigenvalues of f and g are equal.
On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve
Ranks of the 2-Selmer Groups of Twists Given Elliptic Curve
2010/12/1
On the Ranks of the 2-Selmer Groups of Twists of a Given Elliptic Curve.
Random maximal isotropic subspaces and Selmer groups
Random maximal isotropic subspaces Selmer groups
2010/11/26
Selmer groups. D. R. Heath-Brown [HB93, HB94] and P. Swinnerton-Dyer [SD08]obtained the distribution for the nonnegative integer s(E) defined as the F2-dimension of the 2-Selmer group Sel2(E) minus th...