The database currently contains more than $20$ million L-functions. Most of these are stored in the database along with related information such as zeros and analytic rank that have been precomputed using explicit precision bounds (see the “reliability” link on each L-function's home page for further details). A small number of dynamically computed L-functions are also available, as noted in the summary below. The pages for dynamically computed L-functions may be missing information that cannot be computed quickly, and the data displayed on them may be less accurate than the displayed precision suggests.

Below is a summary of available L-functions by degree. Note that the counts are not mutually exclusive, as different types of mathematical objects may have the same L-function. For precomputed L-functions, objects in the database that are believed to give rise to this L-function are listed in the “origins” box on the L-functions home page.

Degree 1

Degree 2

Degree 3

Degree 4

Degrees 5 to 40