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- W2086709251 abstract "Abstract Let E be an elliptic curve defined over a number field K and let S be a density-one set of primes of K of good reduction for E. Faltings proved in 1983 that the K-isogeny class of E is characterized by the function p ↦ # E ( k p ) , which maps a prime p ∈ S to the order of the group of points of E over the corresponding field k p . We show that, in this statement, the integer # E ( k p ) can be replaced by its radical." @default.
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- W2086709251 date "2013-01-01" @default.
- W2086709251 modified "2023-09-23" @default.
- W2086709251 title "On the prime divisors of the number of points on an elliptic curve" @default.
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- W2086709251 doi "https://doi.org/10.1016/j.crma.2013.01.003" @default.
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