prikaz prve stranice dokumenta Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6
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Scientific paper - Original scientific paper
Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6
Acta Arithmetica, 208(1) (2023); 15-49. urn:nbn:hr:237:506742
Adžaga, Nikola; Arul, Vishal; Beneish, Lea; Chen, Mingjie; Chidambaram, Shiva; Keller, Timo; Wen, Boya

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Adžaga, N., Arul, V., Beneish, L., Chen, M., Chidambaram, S., Keller, T. & Wen, B. (2023). Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. Acta Arithmetica, 208(1)., 15-49. Retrieved from https://urn.nsk.hr/urn:nbn:hr:237:506742

Adžaga, Nikola, et al. "Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6." Acta Arithmetica, vol. 208(1), 2023, pp. 15-49. https://urn.nsk.hr/urn:nbn:hr:237:506742

Adžaga, Nikola, Vishal Arul, Lea Beneish, Mingjie Chen, Shiva Chidambaram, Timo Keller and Boya Wen. "Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6." Acta Arithmetica 208(1) (2023): 15-49. https://urn.nsk.hr/urn:nbn:hr:237:506742

Adžaga, N., et al. (2023) 'Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6', Acta Arithmetica, 208(1), pp. 15-49. Available at: https://urn.nsk.hr/urn:nbn:hr:237:506742 (Accessed 11 April 2025)

Adžaga N, Arul V, Beneish L, Chen M, Chidambaram S, Keller T, and sur.. Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6. Acta Arithmetica [Internet]. 2023 [cited 2025 April 11];208(1):15-49. Available at: https://urn.nsk.hr/urn:nbn:hr:237:506742

N. Adžaga, et al., "Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6", Acta Arithmetica, vol. 208(1), pp. 15-49, 2023. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:506742. [Accessed: 11 April 2025]

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Title (english)Quadratic Chabauty for Atkin-Lehner quotients of modular curves of prime level and genus 4, 5, 6
AuthorNikola Adžaga
AuthorVishal Arul
AuthorLea Beneish
AuthorMingjie Chen
AuthorShiva Chidambaram
AuthorTimo Keller
AuthorBoya Wen
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
We use the method of quadratic Chabauty on the quotients X0(N)+ of modular curves X0(N) by their Fricke involutions to provably compute all the rational points of these curves for prime levels N of genus four, five, and six. We find that the only such curves with exceptional rational points are of levels 137 and 311. In particular there are no exceptional rational points on those curves of genus five and six. More precisely, we determine the rational points on the curves X0(N)+ for N = 137,... More 173, 199, 251, 311, 157, 181, 227, 263, 163, 197, 211, 223, 269, 271, 359. Less
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleActa Arithmetica
Numberingvol. 208(1), pp. 15-49
e-ISSN1730-6264
URN:NBNurn:nbn:hr:237:506742
Publication2023
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-05 06:54:09
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