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- W2962939856 abstract "Given an elliptic curve E over a finite field F-q we study the finite extensions F(q)n of F-q such that the number of F(q)n-rational points on E attains the Hasse upper bound. We obtain an upper bound on the degree n for E ordinary using an estimate for linear forms in logarithms, which allows us to compute the pairs of isogeny classes of such curves and degree n for small q. Using a consequence of Schmidt's Subspace Theorem, we improve the upper bound to n" @default.
- W2962939856 created "2019-07-30" @default.
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- W2962939856 date "2018-05-04" @default.
- W2962939856 modified "2023-09-27" @default.
- W2962939856 title "Elliptic curves maximal over extensions of finite base fields" @default.
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- W2962939856 doi "https://doi.org/10.1090/mcom/3342" @default.
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