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- W4285704412 abstract "We study the splitting of primes in number fields generated by points on modular curves. Momose was the first to notice that quadratic points on $X_1(n)$ generate quadratic fields over which certain primes split in a particular way and his results were later expanded upon by Krumm. We prove results about the splitting behaviour of primes in quadratic fields generated by points on the modular curves $X_0(n)$ which are hyperelliptic (except for $n=37$) and in cubic fields generated by points on $X_1(2, 14)$." @default.
- W4285704412 created "2022-07-18" @default.
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- W4285704412 date "2020-09-05" @default.
- W4285704412 modified "2023-09-27" @default.
- W4285704412 title "Splitting of primes in number fields generated by points on some modular curves" @default.
- W4285704412 doi "https://doi.org/10.48550/arxiv.2009.02485" @default.
- W4285704412 hasPublicationYear "2020" @default.
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