On Class Number Divisibility of Number Fields and Points on Elliptic Curves

DOI10.1007/978-981-15-1514-9_10zbMath1436.11133OpenAlexW2999072711MaRDI QIDQ3298289

Debopam Chakraborty

Publication date: 14 July 2020

Published in: Class Groups of Number Fields and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1514-9_10

zbMATH Keywords

elliptic curvesclass number

Mathematics Subject Classification ID

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

Cites Work

• Hilbert genus fields of biquadratic fields
• On the class numbers of certain number fields obtained from points on elliptic curves. III
• Homomorphisms from the group of rational points on elliptic curves to class groups of quadratic number fields
• Genus fields of real biquadratic fields
• Why is the Class Number of $\Q(\sqrt[3{11})$ even?]
• An explicit construction for unramified quadratic extensions of biquadratic fields
• Hilbert genus fields of real biquadratic fields

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