JKL-ECM: an implementation of ECM using Hessian curves

DOI10.1112/S1461157016000231zbMath1404.11139OpenAlexW2509575576MaRDI QIDQ2971003

Oisín Robinson, Henriette Heer, Gary McGuire

Publication date: 4 April 2017

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s1461157016000231

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Factorization (11Y05)

Related Items (2)

A classification of ECM-friendly families of elliptic curves using modular curves ⋮ JKL-ECM

Uses Software

• EFD
• GMP-ECM
• EECM-MPFQ

Cites Work

• Factoring integers with elliptic curves
• Modular curves and the Eisenstein ideal
• Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization
• An exploration of affine group laws for elliptic curves
• Families of elliptic curves over quartic number fields with prescribed torsion subgroups
• Twisted Edwards Curves
• Torsion points on elliptic curves defined over quadratic fields
• ECM using Edwards curves
• New Families of ECM Curves for Cunningham Numbers
• A normal form for elliptic curves

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