Statistics for 3-isogeny induced Selmer groups of elliptic curves

DOI10.1016/J.JNT.2024.09.003MaRDI QIDQ6651552

Pratiksha Shingavekar

Publication date: 10 December 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Galois theory (11R32) Elliptic curves over global fields (11G05) Density theorems (11R45)

Cites Work

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• Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
• Über einen Dirichletschen Satz.
• Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
• Über die Beziehung der Klassenzahlen quadratischer Körper zueinander.
• The average size of the 3‐isogeny Selmer groups of elliptic curves y2=x3+k
• On the Density of Discriminants of Cubic Fields
• On the density of discriminants of cubic fields. II
• On the Class-Number of Binary Cubic Forms (I)

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