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Computing points on bielliptic modular curves over fixed quadratic fields
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Michaud-Jacobs, Philippe (2024) Computing points on bielliptic modular curves over fixed quadratic fields. Bulletin of the Australian Mathematical Society , 109 (1). pp. 6-13. doi:10.1017/S0004972723000333 ISSN 0004-9727 .
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Official URL: https://doi.org/10.1017/S0004972723000333
Abstract
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.
Item Type: | Journal Article | ||||||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Journal or Publication Title: | Bulletin of the Australian Mathematical Society | ||||||||
Publisher: | Cambridge University Press | ||||||||
ISSN: | 0004-9727 | ||||||||
Official Date: | February 2024 | ||||||||
Dates: |
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Volume: | 109 | ||||||||
Number: | 1 | ||||||||
Page Range: | pp. 6-13 | ||||||||
DOI: | 10.1017/S0004972723000333 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Re-use Statement: | This article has been published in a revised form in Bulletin of the Australian Mathematical Society https://doi.org/10.1017/S0004972723000333. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc. | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Copyright Holders: | © The Author(s), 2023. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc. | ||||||||
Date of first compliant deposit: | 15 March 2023 | ||||||||
Date of first compliant Open Access: | 20 October 2023 | ||||||||
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