Abelian scheme - Admissible representation - Approximate functional equation - Arakelov theory - Arithmetic Frobenius element - Artin isomorphism - Artin map - Atkin-Lehner involution - Atkin-Lehner theory - Automorphic cuspform - Baily-Borel compactification - Biquadratic field - Brumer bound - Canonical height - Canonical model - Cartier dual - Cartier-Nishi duality - Chow group - Chowla-Selberg formula - Class number formula - Coarse moduli scheme - Coinvariant - Conductor ideal - Conductor of an automorphic representation - Conductor of an order - Congruence number problem - Cuspidal representation - Deformation theory - Deuring-Heilbronn phenomenon - Dieudonné module - Discrete series - Drinfeld module - Drinfeld reciprocity theorem - Drinfeld structure - Drinfeld upper half plane - Eichler order - Elliptic module - Euler system - Faltings height - Fermat curve - Fermat surface - Field discriminant - Fine moduli scheme - Formal abelian scheme - Fppf - Genus character - Geometric Frobenius element - Gross-Zagier formula - Gross-Zagier theorem - Grothendieck existence theorem - Grothendieck-Ogg-Shafarevich formula - Hecke character - Hecke correspondence - Heegner point - Heegner points - Heegner’s lemma - Height pairing - Henselian discrete valuation ring - Hilbert class field - Hilbert modular form - Hilbert symbol - Humbert surface - Hurwitz class number - Hyperspecial - Idèle class character - Infinitesimal deformation - Inner form - Intersection theory - Kirillov model - Kodaira-Spencer map - Kronecker's congruence - Kronecker's limit formula - Krull's intersection theorem - Langlands parameter - Levi factor - L-group - Local height - Lubin-Tate formal group - Manin-Drinfeld theorem - Mestre bound - Meyer's theorem - Minimal K-type - Modular unit - Néron differential - Néron model - Néron-Ogg-Shafarevich criterion - Néron-Tate pairing - Newform - Norm group - p-adic L-function - Petersson inner product - Picard number - Poincaré height - Principal ideal theorem - Quadratic twist - Quasi-canonical lifting - Quasi-finite morphism - Quaternion algebra - Rank conjecture - Rankin L-function - Rankin’s method - Rankin-Selberg convolution - Raynaud's isogeny theorem - Reduced discriminant - Reduced norm - Reduced trace - Reduction theory - Relative Cartier divisor - Rigid analytic function - Rigid analytic space - Ring class field - Schwartz-Bruhat function - Selmer group - Serre-Tate canonical lift - Serre-Tate parameter - Serre-Tate theorem - Shimura curve - Shimura variety - Shimura's reciprocity law - Siegel modular form - Siegel parabolic subgroup - Siegel-Weil formula - Stark's conjecture - Strong Weil curve - Supersingular elliptic curve - Tate curve - Tate's isogeny theorem - Torsion conjecture - Universal deformation ring - Valuative criterion of properness - Waldspurger's theorem - Weil-Deligne group - Whittaker coefficient