`acb_elliptic_invariants`

Synopsis#include <flint/acb_elliptic.h>

void acb_elliptic_invariants(acb_t g2, acb_t g3, const acb_t tau, slong prec)source

Sets g2 and g3 to the lattice invariants $g_2 = 60 G_4(\tau)$ and $g_3 = 140 G_6(\tau)$ , where $G_{2k}$ are the Eisenstein series of acb_modular_eisenstein. They are the coefficients of the differential equation $\wp'^2 = 4 \wp^3 - g_2 \wp - g_3$ .

Cite this page

The FLINT team, “acb_elliptic_invariants (acb_elliptic.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/acb_elliptic/acb_elliptic_invariants.html (generated 2026-11-02).

@misc{flint-doc-acb-elliptic-acb-elliptic-invariants,
  author       = {{The FLINT team}},
  title        = {{acb\_elliptic\_invariants (acb\_elliptic.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/acb_elliptic/acb_elliptic_invariants.html},
  note         = {Generated 2026-11-02}
}

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