The research areas of the LMFDB are distinguished by the variety of connections among the various objects.
Algebraic Varieties Automorphic Forms L-functions Number Fields Artin Representations     component             component Galois Groups   Galois   closure field of definition, n-divison fields, etc         lifts          twists functoriality Dedekind zeta function Hasse-Weil L-function Artin L-function converse theorem automorphic representation     some varieties are modular             Shimura varieties of the rational numbers.   Rankin-Selberg