Elliptic curves with rank 0 over number fields

DOI10.7169/facm/1585zbMath1390.14089OpenAlexW2576942971MaRDI QIDQ1746202

Pallab Kanti Dey

Publication date: 24 April 2018

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1484794815

zbMATH Keywords

elliptic curveDiophantine equationnumber field

Mathematics Subject Classification ID

Elliptic curves (14H52) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (3)

The torsion subgroup of a family of elliptic curves over the maximal abelian extension of $\mathbb{Q}$ ⋮ The torsion subgroup of the elliptic curve \(Y^2 = X^3 + AX\) over the maximal abelian extension of \(\mathbb{Q}\) ⋮ Torsion groups of a family of elliptic curves over number fields

Cites Work

• Bounds for the torsion of elliptic curves over number fields
• On the Equation Y 2 = X(X 2 + p)
• On the group structure of elliptic curves y^2=x^3-2px
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