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- W2887002485 abstract "We show that if $$E/mathbb {Q}$$ is an elliptic curve without complex multiplication and for which there is a prime q such that the image of $$bar{rho }_{E,q}$$ is contained in the normaliser of a split Cartan subgroup of $${{mathrm{GL}}}_2(mathbb {F}_q)$$ , then $$bar{rho }_{E,p}$$ surjects onto $${{mathrm{GL}}}_2(mathbb {F}_p)$$ for every prime $$p>37$$ . This result complements a previous result by the author. We also prove analogue results for certain families of $$mathbb {Q}$$ -curves, building on results of Ellenberg (Am J Math 126(4):763–787, 2004) and Le Fourn (Math Ann 365(1–2):173–214, 2016)." @default.
- W2887002485 created "2018-08-22" @default.
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- W2887002485 date "2018-11-29" @default.
- W2887002485 modified "2023-09-24" @default.
- W2887002485 title "Some cases of Serre’s uniformity problem" @default.
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- W2887002485 doi "https://doi.org/10.1007/s00209-018-2189-8" @default.
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