- ID: jvoight

## Knowls

John Voight has contributed to these Knowls:
$K$-gonality of a modular curve,
$X_1(N)$,
$X_{\mathrm{arith}}(N)$,
$X_{\text{sp}}(N)$,
$\GL_2$-type,
$\PSL_2$-index,
Acknowledgments for Hilbert modular forms,
Acknowledgments for Maass forms,
Acknowledgments for classical modular forms,
Acknowledgments for p-adic fields,
Acknowledgments for sponsors,
Additional acknowledgments,
Algebraic variety ,
Analytic rank of a curve,
Arithmetic genus,
Artin image,
Associate of an element,
Atkin-Lehner involution $w_Q$,
Base change of a GL(2) modular form,
Base field of a Belyi map,
Belyi map,
Belyi map label,
Canonical field of definition of a modular curve,
Coefficient field for newforms,
Combinatorics and $q$-series,
Completeness of Hilbert modular form data,
Completeness of Hilbert modular form data,
Completeness of Hilbert modular surface data,
Completeness of L-function Data,
Completeness of data for Belyi maps,
Completeness of data for Belyi maps,
Completeness of genus 2 curve data,
Complex multiplication,
Complex multiplication,
Complex multiplication,
Congruence subgroup of a Bianchi group,
Cusp index,
Definition of ring,
Degree of a Siegel modular form,
Dimension,
Dimension of a Hecke orbit,
Discriminant of a quaternion algebra,
Discriminant of a quaternion order,
Duke-Imamoglu-Ikeda lift,
Elliptic functions,
Endomorphism algebra,
Endomorphism invariants,
Endomorphism lattice,
Endomorphism of an elliptic curve,
Endomorphism ring,
Endomorphism ring of an elliptic curve,
Endomorphism ring of an elliptic curve,
Extent of elliptic curve data over number fields,
Family of Siegel groups,
Field,
Fricke involution,
Gassmann class,
Genus of a Belyi map,
Geometric automorphism group,
Geometric endomorphism algebra,
Geometric endomorphism algebra,
Geometric endomorphism ring,
Geometric endomorphism ring,
Geometric invariants,
Hasse-Weil conjecture,
Hecke Characters,
Hecke operators,
Hilbert modular form,
Hilbert modular surface,
Hodge vector of a hypergeometric motive,
Hodge vector of a hypergeometric motive,
Holomorphic Euler characteristic,
Hypergeometric family over $\Q$,
Hypergeometric motive,
Ideal class group of a number field,
Ideal labels,
Index of a modular curve,
Integral element of a ring,
Introduction,
Introduction/Features,
Isogeny between elliptic curves ,
Label for an elliptic curve over $\mathbb Q$,
Label of a Siegel modular form,
Label of a modular curve,
Label of an Hilbert Modular Form,
Langlands program,
Level of a Bianchi modular form,
Level of a Hilbert modular form,
Level of a Siegel modular form,
Matrix group,
Maximal $\ell$-adic Galois representation,
Maximal Galois representation,
Minus space,
Modular cover,
Modular curve,
Modular curve $X(N)$,
Modular form (general),
Monodromy group of a Belyi map,
Mordell-Weil generator,
Motivic weight,
Narrow class group,
Narrow class number,
New subspace,
Newform,
Oldspace decomposition for newform space,
Other labels for modular curves,
Poincaré series,
Point counts of the curve,
Quadratic refinements,
Quaternion algebra,
Quaternion order,
Ramification type,
Real geometric endomorphism algebra,
Real multiplication,
Reliability of Dynamically Computed L-function Data,
Reliability of Maass forms data,
Reliability of the Hilbert modular form data,
Reliability of the elliptic curve data,
Reliability of transitive group data,
Roadmap for Hilbert modular forms,
Roadmap for L-functions,
Roadmap for Siegel modular forms,
Roadmap for elliptic curves,
Saito-Kurokawa lift,
Sato-Tate group identity component,
Schur multiplier,
Shimura curve,
Siegel modular form,
Siegel newform,
Signature of an L-function,
Source of abstract group data,
Source of Belyi maps data,
Source of Belyi maps data,
Source of Genus 2 Curve Data,
Source of Hilbert modular form data,
Source of Hilbert modular form data,
Source of elliptic curve data over $\Q$,
Source of elliptic curve data over number fields,
Source of modular curve data,
Spaces of modular forms,
Standard modular curves,
Sturm bound,
Subspaces of modular forms,
Theta functions,
Totally positive,
Transitive permutation triple,
Unit in a ring,
Weight of a Hilbert modular form,
Z-function of an L-function,
abc triple for Belyi maps,
q-expansion of a modular form,
weight