Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6
نویسندگان
چکیده
We use the method of quadratic Chabauty on quotients $X_0^+(N)$ modular curves $X_0(N)$ by their Fricke involutions to provably compute all rational points these for prime levels $N$ genus four, five, and six. find that only such with exceptional are $137$ $311$. In particular there no those five More precisely, we determine $N=137,173,199,251,311,157,181,227,263,163,197,211,223,269,271,359$.
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2023
ISSN: ['0065-1036', '1730-6264']
DOI: https://doi.org/10.4064/aa220110-7-3