Minimal degrees of algebraic numbers with respect to primitive elements

DOI10.1142/S1793042122500282zbMath1494.11085arXiv2007.00956OpenAlexW3184484095WikidataQ114071926 ScholiaQ114071926MaRDI QIDQ5069075

Cheol-Min Park, Sun Woo Park

Publication date: 8 April 2022

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

Full work available at URL: https://arxiv.org/abs/2007.00956

zbMATH Keywords

elliptic curvesminimal degreesMagmaalgebraic numberstriquadratic number fields

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves (14H52) Polynomials (irreducibility, etc.) (11R09) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (1)

Minimal degree of an element of a number field with respect to its quadratic extension

Uses Software

• Magma

Cites Work

• Unnamed Item
• On the ranks of the 2-Selmer groups of twists of a given elliptic curve
• A classical Diophantine problem and modular forms of weight \(3/2\)
• The Magma algebra system. I: The user language
• A taxonomy of pairing-friendly elliptic curves
• Elliptic curves suitable for pairing based cryptography
• The effect of twisting on the 2-Selmer group
• Constructing Brezing-Weng Pairing-Friendly Elliptic Curves Using Elements in the Cyclotomic Field
• The Arithmetic of Elliptic Curves
• Euler's concordant forms

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