prikaz prve stranice dokumenta Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
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Scientific paper - Original scientific paper
Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
Research in number theory, 8 (2022); 87. urn:nbn:hr:237:493899
Adžaga, Nikola; Chidambaram, Shiva; Keller, Timo; Padurariu, Oana

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Adžaga, N., Chidambaram, S., Keller, T. & Padurariu, O. (2022). Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings. Research in number theory, 8.. Retrieved from https://urn.nsk.hr/urn:nbn:hr:237:493899

Adžaga, Nikola, et al. "Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings." Research in number theory, vol. 8, 2022. https://urn.nsk.hr/urn:nbn:hr:237:493899

Adžaga, Nikola, Shiva Chidambaram, Timo Keller and Oana Padurariu. "Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings." Research in number theory 8 (2022). https://urn.nsk.hr/urn:nbn:hr:237:493899

Adžaga, N., et al. (2022) 'Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings', Research in number theory, 8. Available at: https://urn.nsk.hr/urn:nbn:hr:237:493899 (Accessed 21 October 2024)

Adžaga N, Chidambaram S, Keller T, Padurariu O. Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings. Research in number theory [Internet]. 2022 [cited 2024 October 21];8. Available at: https://urn.nsk.hr/urn:nbn:hr:237:493899

N. Adžaga, S. Chidambaram, T. Keller and O. Padurariu, "Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings", Research in number theory, vol. 8, 2022. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:493899. [Accessed: 21 October 2024]

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Metadata
Title (english)Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
AuthorNikola Adžaga
AuthorShiva Chidambaram
AuthorTimo Keller
AuthorOana Padurariu
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
We complete the computation of all Q-rational points on all the 64 maximal Atkin-Lehner quotients X0(N)∗ such that the quotient is hyperelliptic. To achieve this, we use a combination of various methods, namely the classical Chabauty–Coleman, elliptic curve Chabauty, quadratic Chabauty, and the bielliptic quadratic Chabauty method (from a forthcoming preprint of the fourth-named author) combined with the Mordell-Weil sieve. Additionally, for square- free levels N, we classify all Q-rational points as cusps, CM points (including their CM field and j-invariants) and exceptional ones. We further indicate how to use this to compute the Q-rational points on all of their modular coverings.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleResearch in number theory
Numberingvol. 8, 87
e-ISSN2522-0160
URN:NBNurn:nbn:hr:237:493899
Publication2022
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-04 21:23:01