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passagemath: Elliptic curves over the rationals with eclib/mwrank

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-10.10.x series is adding support for Python 3.15.

About this pip-installable distribution package

This pip-installable distribution passagemath-eclib provides the Cython interface to John Cremona’s programs for enumerating and computing with elliptic curves defined over the rational numbers.

What is included

Examples

A quick way to try it out interactively:

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

In [1]: from passagemath_eclib import *

In [2]: M = CremonaModularSymbols(43, cuspidal=True); M
Out[2]: Cremona Cuspidal Modular Symbols space of dimension 6 for Gamma_0(43) of weight 2 with sign 0

Finding the installation location of the mwrank program:

$ pipx run --spec "passagemath-eclib" python
>>> from sage.features.eclib import Mwrank
>>> Mwrank().absolute_filename()
'.../bin/mwrank'

Use with sage.schemes.elliptic_curves:

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

In [1]: from passagemath_eclib import *

In [2]: x = polygen(ZZ, 'x')

In [3]: K = NumberField(x**2 + 23, 'a'); a = K.gen()

In [4]: E = EllipticCurve(K, [0,0,0,101,0])

In [5]: E.gens()

Development

$ git clone --origin passagemath https://github.com/passagemath/passagemath.git
$ cd passagemath
passagemath $ ./bootstrap
passagemath $ python3 -m venv eclib-venv
passagemath $ source eclib-venv/bin/activate
(eclib-venv) passagemath $ pip install -v -e pkgs/sagemath-eclib

Metadata

Release files for passagemath-eclib 10.8.14rc1

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-eclib 10.8.14rc1
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passagemath_eclib-10.8.14rc1.tar.gz 39.4 kB Without provenance Details for passagemath_eclib-10.8.14rc1.tar.gz

Built distributions (wheels)

Table of built distributions (wheels) for passagemath-eclib 10.8.14rc1
File Actions
passagemath_eclib-10.8.14rc1-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_eclib-10.8.14rc1-cp314-cp314t-musllinux_1_2_x86_64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314t-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux musl 1.2+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314t-musllinux_1_2_aarch64.whl
passagemath_eclib-10.8.14rc1-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_eclib-10.8.14rc1-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314t-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 free-threading Linux glibc 2.28+ ARM64, Linux glibc 2.27+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314t-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314t-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314t-macosx_13_0_x86_64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314t-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 free-threading macOS 13.0+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314t-macosx_13_0_arm64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314-musllinux_1_2_x86_64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314-musllinux_1_2_aarch64.whl
passagemath_eclib-10.8.14rc1-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_eclib-10.8.14rc1-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 Linux glibc 2.27+ ARM64, Linux glibc 2.28+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314-macosx_13_0_x86_64.whl CPython 3.14 CPython 3.14 macOS 13.0+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314-macosx_13_0_x86_64.whl
passagemath_eclib-10.8.14rc1-cp314-cp314-macosx_13_0_arm64.whl CPython 3.14 CPython 3.14 macOS 13.0+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp314-cp314-macosx_13_0_arm64.whl
passagemath_eclib-10.8.14rc1-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp313-cp313-musllinux_1_2_x86_64.whl
passagemath_eclib-10.8.14rc1-cp313-cp313-musllinux_1_2_aarch64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp313-cp313-musllinux_1_2_aarch64.whl
passagemath_eclib-10.8.14rc1-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_eclib-10.8.14rc1-cp313-cp313-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.13 CPython 3.13 Linux glibc 2.27+ ARM64, Linux glibc 2.28+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp313-cp313-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl
passagemath_eclib-10.8.14rc1-cp313-cp313-macosx_13_0_x86_64.whl CPython 3.13 CPython 3.13 macOS 13.0+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp313-cp313-macosx_13_0_x86_64.whl
passagemath_eclib-10.8.14rc1-cp313-cp313-macosx_13_0_arm64.whl CPython 3.13 CPython 3.13 macOS 13.0+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp313-cp313-macosx_13_0_arm64.whl
passagemath_eclib-10.8.14rc1-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp312-cp312-musllinux_1_2_x86_64.whl
passagemath_eclib-10.8.14rc1-cp312-cp312-musllinux_1_2_aarch64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp312-cp312-musllinux_1_2_aarch64.whl
passagemath_eclib-10.8.14rc1-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_eclib-10.8.14rc1-cp312-cp312-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.12 CPython 3.12 Linux glibc 2.28+ ARM64, Linux glibc 2.27+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp312-cp312-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl
passagemath_eclib-10.8.14rc1-cp312-cp312-macosx_13_0_x86_64.whl CPython 3.12 CPython 3.12 macOS 13.0+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp312-cp312-macosx_13_0_x86_64.whl
passagemath_eclib-10.8.14rc1-cp312-cp312-macosx_13_0_arm64.whl CPython 3.12 CPython 3.12 macOS 13.0+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp312-cp312-macosx_13_0_arm64.whl
passagemath_eclib-10.8.14rc1-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp311-cp311-musllinux_1_2_x86_64.whl
passagemath_eclib-10.8.14rc1-cp311-cp311-musllinux_1_2_aarch64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp311-cp311-musllinux_1_2_aarch64.whl
passagemath_eclib-10.8.14rc1-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
passagemath_eclib-10.8.14rc1-cp311-cp311-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl CPython 3.11 CPython 3.11 Linux glibc 2.28+ ARM64, Linux glibc 2.27+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp311-cp311-manylinux_2_27_aarch64.manylinux_2_28_aarch64.whl
passagemath_eclib-10.8.14rc1-cp311-cp311-macosx_13_0_x86_64.whl CPython 3.11 CPython 3.11 macOS 13.0+ x86-64 Details for passagemath_eclib-10.8.14rc1-cp311-cp311-macosx_13_0_x86_64.whl
passagemath_eclib-10.8.14rc1-cp311-cp311-macosx_13_0_arm64.whl CPython 3.11 CPython 3.11 macOS 13.0+ ARM64 Details for passagemath_eclib-10.8.14rc1-cp311-cp311-macosx_13_0_arm64.whl

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