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Our aim is to give information about all the interesting lattices in "low" dimensions (and to provide them with a "home page"!). The data-base now contains about 160,000 lattices!
On the Magnus Function
Roger C. Alperin
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1 Introduction
There are uncountably many integer functions M : Z ¡! Z having the
properties
M(0) = 0;M(M(x)) = x;M(x) = M(M(x ¡ 1) ¡ 1) ¡ 1:
Using this B. Neumann [cf. M2] showed the existence of uncountably many
maximal non-parabolic subgroups of the modular group PSL2(Z).
Related data about elliptic curves, abelian varieties, etc.
William A. Stein
Collection of Tables Related to Modular Forms, Elliptic Curves, and Abelian Varieties
The Modular Forms Explorer (PostgreSQL)
The Interactive Modular Forms Explorer (uses ZOPE)
The Stein-Watkins tables of elliptic curves (see also the paper).
Elliptic Curves Information Calculator
PARI & MAGMA Calculator
Bibtex Reference for the Database
Talks About the Database
Lecture Notes
Software