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Volcanoes of \(\ell\)-isogenies of elliptic curves over finite fields: the case \(\ell=3^*\)

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Publication:1021036
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DOI10.5565/PUBLMAT_PJTN05_08zbMath1166.14023OpenAlexW2623202464MaRDI QIDQ1021036

R. Tomàs, Magda Valls, Josep M. Miret Biosca, Juan G. Tena Ayuso, Daniel Sadornil

Publication date: 5 June 2009

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: http://mat.uab.es/pubmat/fitxers/download/FileType:abstract/FolderName:Extravol07/FileName:APJTN05_08.pdf


zbMATH Keywords

algorithmselliptic curvesfinite fieldsSylow subgroupisogeniesvolcanoes


Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Isogeny (14K02)


Related Items (4)

Breaking the decisional Diffie-Hellman problem for class group actions using genus theory: extended version ⋮ On the \({\ell}\)-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\) ⋮ Computing the height of volcanoes of \(\ell \)-isogenies of elliptic curves over finite fields ⋮ Breaking the decisional Diffie-Hellman problem for class group actions using genus theory






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