passagemath: Elliptic curves over the rationals with eclib/mwrank
Project description
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 2005-2025 under the motto “Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB”.
The passagemath fork was created in October 2024 with the following goals:
providing modularized installation with pip, thus completing a major project started in 2020 in the Sage codebase,
establishing first-class membership in the scientific Python ecosystem,
providing independently usable Python interfaces to upstream libraries,
providing platform portability and integration testing services to upstream projects,
inviting collaborations with upstream projects,
developing a port to Pyodide for serverless deployment with Javascript,
developing a native Windows port.
Full documentation is available online.
passagemath attempts to support all major Linux distributions and recent versions of macOS. Use on Windows currently requires the use of Windows Subsystem for Linux or virtualization.
Complete sets of binary wheels are provided on PyPI for Python versions 3.9.x-3.12.x. Python 3.13.x is also supported, but some third-party packages are still missing wheels, so compilation from source is triggered for those.
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 --pip-args="--prefer-binary" --spec "passagemath-eclib[test]" ipython In [1]: from sage.all__sagemath_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 --pip-args="--prefer-binary" --spec "passagemath-eclib" python >>> from sage.features.eclib import Mwrank >>> Mwrank().absolute_filename() '.../bin/mwrank'
Use with sage.schemes.elliptic_curves:
$ pipx run --pip-args="--prefer-binary" --spec "passagemath-eclib[test]" ipython In [1]: from sage.all__sagemath_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
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