Homomorphisms from the group of rational points on elliptic curves to class groups of quadratic number fields

DOI10.1006/jnth.1994.1013zbMath0811.14035OpenAlexW2088028324MaRDI QIDQ1320504

Ragnar Soleng

Publication date: 2 May 1995

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

Full work available at URL: https://doi.org/10.1006/jnth.1994.1013

zbMATH Keywords

elliptic curveideal class groupintegral pointgroup of primitive points

Mathematics Subject Classification ID

Quadratic extensions (11R11) Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Class numbers, class groups, discriminants (11R29)

Related Items (9)

Class pairings and isogenies on elliptic curves ⋮ Unnamed Item ⋮ Elliptic curves and lower bounds for class numbers ⋮ Hyperelliptic curves and homomorphisms to ideal class groups of quadratic number fields ⋮ On Class Number Divisibility of Number Fields and Points on Elliptic Curves ⋮ Heights of points on elliptic curves over ℚ ⋮ Quadratic twists of elliptic curves and class numbers ⋮ From Picard groups of hyperelliptic curves to class groups of quadratic fields ⋮ On class numbers, torsion subgroups, and quadratic twists of elliptic curves

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