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passagemath: Elliptic curve method for integer factorization using GMP-ECM

passagemath is open source mathematical software in Python, released under the GNU General Public Licence GPLv2+.

It is a fork of SageMath, which has been developed 2005-2026 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.

The passagemath fork uses the motto “Creating a Free Passage Between the Scientific Python Ecosystem and Mathematical Software Communities.” It was created in October 2024 with the following goals:

Moreover, the passagemath project:

  • provides a stable, frequently updated version of the Sage distribution,

  • integrates additional mathematical software, notably Macaulay2, a full set of GAP packages, and the Combinatorial Matrix Recognition library,

  • curates a library of Sage user packages.

Full documentation is available online.

passagemath attempts to support and provides binary wheels suitable for all major Linux distributions and recent versions of macOS.

Binary wheels for native Windows (x86_64, ARM) are are available for a subset of the passagemath distributions. Use of the full functionality of passagemath on Windows currently requires the use of Windows Subsystem for Linux (WSL) or virtualization.

The supported Python versions in the passagemath-10.8.x series are 3.11.x-3.14.x; the passagemath-10.6.x series (EOL 2026-10) still supports Python 3.10.x.

About this pip-installable distribution package

This pip-installable package passagemath-libecm provides interfaces to GMP-ECM, the implementation of the Elliptic Curve Method for integer factorization.

What is included

Examples

$ pipx run --spec "passagemath-libecm[test]" ipython

In [1]: from sage.libs.libecm import ecmfactor

In [2]: N = 11 * 43570062353753446053455610056679740005056966111842089407838902783209959981593077811330507328327968191581

In [3]: ecmfactor(N, 100, verbose=True)
Performing one curve with B1=100
Found factor in step 1: 11
Out[3]: (True, 11, ...)

In [4]: ecmfactor(N//11, 100, verbose=True)
Performing one curve with B1=100
Found no factor.
Out[4]: (False, None)

Available as extras, from other distributions

pip install passagemath-libecm[pari] additionally makes PARI available (for primality testing)

Metadata

Release files for passagemath-libecm 10.8.14rc0

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for passagemath-libecm 10.8.14rc0
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Built distributions (wheels)

Table of built distributions (wheels) for passagemath-libecm 10.8.14rc0
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passagemath_libecm-10.8.14rc0-cp314-cp314t-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314t-musllinux_1_2_x86_64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314t-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314t-musllinux_1_2_aarch64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314t-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.28+ ARM64, Linux glibc 2.26+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314t-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314t-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314t-macosx_13_0_x86_64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314t-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314t-macosx_13_0_arm64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314-musllinux_1_2_x86_64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314-musllinux_1_2_aarch64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 Linux glibc 2.28+ ARM64, Linux glibc 2.26+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 macOS 13.0+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314-macosx_13_0_x86_64.whl
passagemath_libecm-10.8.14rc0-cp314-cp314-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 macOS 13.0+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp314-cp314-macosx_13_0_arm64.whl
passagemath_libecm-10.8.14rc0-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp313-cp313-musllinux_1_2_x86_64.whl
passagemath_libecm-10.8.14rc0-cp313-cp313-musllinux_1_2_aarch64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp313-cp313-musllinux_1_2_aarch64.whl
passagemath_libecm-10.8.14rc0-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_libecm-10.8.14rc0-cp313-cp313-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl CPython 3.13 CPython 3.13 Linux glibc 2.28+ ARM64, Linux glibc 2.26+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp313-cp313-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
passagemath_libecm-10.8.14rc0-cp313-cp313-macosx_13_0_x86_64.whl CPython 3.13 CPython 3.13 macOS 13.0+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp313-cp313-macosx_13_0_x86_64.whl
passagemath_libecm-10.8.14rc0-cp313-cp313-macosx_13_0_arm64.whl CPython 3.13 CPython 3.13 macOS 13.0+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp313-cp313-macosx_13_0_arm64.whl
passagemath_libecm-10.8.14rc0-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp312-cp312-musllinux_1_2_x86_64.whl
passagemath_libecm-10.8.14rc0-cp312-cp312-musllinux_1_2_aarch64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp312-cp312-musllinux_1_2_aarch64.whl
passagemath_libecm-10.8.14rc0-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_libecm-10.8.14rc0-cp312-cp312-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl CPython 3.12 CPython 3.12 Linux glibc 2.26+ ARM64, Linux glibc 2.28+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp312-cp312-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
passagemath_libecm-10.8.14rc0-cp312-cp312-macosx_13_0_x86_64.whl CPython 3.12 CPython 3.12 macOS 13.0+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp312-cp312-macosx_13_0_x86_64.whl
passagemath_libecm-10.8.14rc0-cp312-cp312-macosx_13_0_arm64.whl CPython 3.12 CPython 3.12 macOS 13.0+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp312-cp312-macosx_13_0_arm64.whl
passagemath_libecm-10.8.14rc0-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp311-cp311-musllinux_1_2_x86_64.whl
passagemath_libecm-10.8.14rc0-cp311-cp311-musllinux_1_2_aarch64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp311-cp311-musllinux_1_2_aarch64.whl
passagemath_libecm-10.8.14rc0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_libecm-10.8.14rc0-cp311-cp311-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl CPython 3.11 CPython 3.11 Linux glibc 2.26+ ARM64, Linux glibc 2.28+ ARM64 Details for passagemath_libecm-10.8.14rc0-cp311-cp311-manylinux_2_26_aarch64.manylinux_2_28_aarch64.whl
passagemath_libecm-10.8.14rc0-cp311-cp311-macosx_13_0_x86_64.whl CPython 3.11 CPython 3.11 macOS 13.0+ x86-64 Details for passagemath_libecm-10.8.14rc0-cp311-cp311-macosx_13_0_x86_64.whl
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