Average Frobenius distributions for elliptic curves with 3-torsion

DOI10.1016/j.jnt.2004.06.012zbMath1158.11318OpenAlexW2038741633MaRDI QIDQ1763999

Kevin L. James

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.06.012

zbMATH Keywords

Lang-Trotter conjectureElliptic curvesAverage Frobenius distributions

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80)

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Cites Work

• Factoring integers with elliptic curves
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Galois properties of points of finite order of elliptic curves
• Universal Bounds on the Torsion of Elliptic Curves
• Courbes elliptiques sur Q sans nombres premiers exceptionnels
• On the Distribution of Supersingular Primes
• How the Number of Points of An Elliptic Curve Over a Fixed Prime Field Varies
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