Arithmetic Moduli of Elliptic Curves

Residue field, Theorem, Algebraically closed field, Morphism, Regularity theorem, Zariski topology, Prime factor, Axiom, Divisor, Cyclic group, Eigenfunction, Finite group, Coprime integers, Discrete valuation ring, Calculation, Subring, Algebraic variety, Integer, Disjoint union, Finite morphism, Canonical map, Congruence relation, Coefficient, Prime power, Cokernel, Elliptic curve, Neighbourhood (mathematics), Base change, Subgroup, Abelian variety, Factorization, Finite field, Level structure, Free module, Moduli space, Two-dimensional space, Change of base, Barry Mazur, Field of fractions, Commutative property, Representation theory, Diagram (category theory), One-parameter group, Ambient space, Open problem, Empty set, Irreducible component, Modular equation, Topology, Local ring, Group (mathematics), Noetherian, Arithmetic, Cusp form, Subset, Closed immersion, Dense set, Modular curve, Prime number, Riemann hypothesis, Coherent sheaf, Maximal ideal, Functor, Addition, Dimension, Q.E.D., Modular form, Special case, Corollary, Morphism of schemes