Papers › Computing points on bielliptic modular curves over fixed quadratic fields

Computing points on bielliptic modular curves over fixed quadratic fields

16 Jan 2023arXiv:2301.06440links table onlyarchive 2025-07-28

Philippe Michaud-Jacobs

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We present a Mordell-Weil sieve that can be used to compute points on certain bielliptic modular curves X₀(N) over fixed quadratic fields. We study X₀(N)(ℚ(√(d))) for N ∈{ 53,61,65,79,83,89,101,131 } and |d |< 100.

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