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- W2474929612 abstract "A celebrated theorem of Serre from 1972 asserts that if E is an elliptic curve defined over ℚ and without complex multiplication, then its associated mod ℓ representation is surjective for all sufficiently large primes ℓ. In this paper we address the question of what “sufficiently large” means in Serre's theorem. More precisely, we obtain a uniform version of Serre's theorem for nonconstant elliptic curves defined over function fields, and a uniform version of Serre's theorem for one-parameter families of elliptic curves defined over ℚ." @default.
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- W2474929612 doi "https://doi.org/10.1155/imrn.2005.3065" @default.
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