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Non-existence of elliptic curves with everywhere good reduction over some real quadratic fields
Non-existence of elliptic curves quadratic fields Number Theory
2011/9/19
Abstract: We prove the non-existence of elliptic curves having good reduction everywhere over some real quadratic fields.
Given a matrix A 2 Zm×n satisfying certain regularity assumptions,a well-known integer programming problem asks to find an integer point in the associated knapsack polytope
P(A, b) = {x 2 Rn 0 : Ax ...