Bounds for 2-Selmer ranks in terms of seminarrow class groups

DOI10.2140/pjm.2022.320.193OpenAlexW3023259722MaRDI QIDQ2090292

Myungjun Yu, Hwajong Yoo

Publication date: 25 October 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00194

zbMATH Keywords

Mordell-Weil rankelliptic curveideal class group2-Selmer rank

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Class numbers, class groups, discriminants (11R29) Elliptic curves over local fields (11G07)

Cites Work

• On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields
• The rank of elliptic curves
• Class groups and Selmer groups
• Root numbers and parity of ranks of elliptic curves
• The Arithmetic of Elliptic Curves
• Arithmetic of Elliptic Curves Upon Quadratic Extension
• The 2‐Selmer group of a number field and heuristics for narrow class groups and signature ranks of units
• 2-Selmer groups, 2-class groups and rational points on elliptic curves
• GOLDFELD’S CONJECTURE AND CONGRUENCES BETWEEN HEEGNER POINTS

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