Certain curves over \(\mathbb{Q}(t)\) of genus \(2,3,4\)

DOI10.1007/S000130050377zbMATH Open0941.11025OpenAlexW2067273571MaRDI QIDQ1305355

Andrew Bremner

Publication date: 7 August 2000

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050377

zbMATH Keywords

rank of elliptic curvesglobal points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

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There are genus one curves over \mathbb{Q} of every odd index

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