A graphical approach to computing Selmer groups of congruent number curves
نویسندگان
چکیده
منابع مشابه
A Graphical Approach to Computing Selmer Groups of Congruent Number Curves
Sn = {d ∈ M | Cd(Qp) 6= ∅ ∀p|2n, Cd(Q∞) 6= ∅}, S ′ n = {d ∈ M | C ′ d(Qp) 6= ∅ ∀p|2n, C ′ d(Q∞) 6= ∅}, where the equations Cd and C ′ d, in variables (w, t, z) are given by Cd : dw 2 = t + (2n/d)z, C ′ d : dw 2 = t − (n/d)z. We should note that (0, 0, 0) is always a solution to Cd(C ′ d). So, when we write Cd(Qp) 6= ∅ (C ′ d(Qp) 6= ∅), we mean there exists nontrivial solutions. There has been m...
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2007
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-006-9008-2