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Title: A note on rank zero quadratic twists of a Mordell curve (English)
Author: Chutia, Ankurjyoti
Author: Hoque, Azizul
Author: Kalita, Jyotishman
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 76
Issue: 1
Year: 2026
Pages: 75-85
Summary lang: English
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Category: math
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Summary: We produce two families of rank zero quadratic twists of the Mordell curve $y^2=x^3+2$. At the end, we give numerical examples supporting the result. (English)
Keyword: Mordell curve
Keyword: rank of elliptic curve
Keyword: class number of quadratic field
MSC: 11G05
MSC: 11G40
MSC: 11R29
MSC: 14G05
DOI: 10.21136/CMJ.2026.0112-25
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Date available: 2026-03-13T09:28:47Z
Last updated: 2026-03-16
Stable URL: http://hdl.handle.net/10338.dmlcz/153561
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