passagemath-eclib 10.4.65

passagemath: Elliptic curves over the rationals with eclib/mwrank

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SageMath fully supports all major Linux distributions, recent versions of macOS, and Windows (Windows Subsystem for Linux).

See https://doc.sagemath.org/html/en/installation/index.html for general installation instructions.

About this pip-installable distribution

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

• Sage interface to Cremona’s eclib library (also known as mwrank)

• Cython interface to Cremona’s eclib library (also known as mwrank)

• Cremona matrices

• Modular symbols using eclib newforms

• Cremona modular symbols

• Cremona modular symbols (constructor)

• Interface to the mwrank program

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()
'/Users/mkoeppe/.local/pipx/.cache/6c494549ef80bf7/lib/python3.11/site-packages/sage_wheels/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