Knowls

David Roe has contributed to these Knowls: , $X_{\pm 1}(N)$, $abc$ quality, $p$-adic field, $p$-adic field family diagrams, $p$-group, A-group, Abelian group, Abelian invariants, Abstract group name, Acknowledgements for abstract groups, Acknowledgments for p-adic fields, Acknowledgments for sponsors, Additively indecomposable lattice, Almost simple group, Ambient group, Ambient group label, Ambiguity of a family, Analytic conductor of a classical newform, Analytic order of Ш, Analytic order of Sha (numerical value), Angle rank of a set, Announcements, Associate of an element, Associated inertia, Atkin-Lehner involution $w_Q$, Autjugacy class, Autjugate subgroups, Automorphism group of an integral lattice, Bad prime, Bad reduction of an elliptic curve at a prime, Base-change Bianchi modular forms, Bass Frobenius order, Belyi map label, Buckets for statistics, Bézout matrix, CM form, Canonical defining polynomial for number fields, Canonical field of definition of a modular curve, Canonical model, Character of a group representation, Chief series of a group, Coefficient field for newforms, Coefficient ring, Command line interface, Commutator length, Complement, Complete group, Completeness and extent of Artin representation data, Completeness and extent of abstract group data, Completeness and extent of local field data, Completeness of Classical Modular Form Data, Completeness of L-function Data, Completeness of data on isogeny classes of abelian varieties over finite fields, Completeness of the modular curve database, Complex irreducible representation, Congruent number curves, Conjugacy class, Conjugacy class, Conway symbol, Cyclic group of points, Data for a Galois orbit of Dirichlet characters, Data for a dirichlet character, Decomposition into newforms, Decomposition into newforms, Decomposition into newforms for Gamma1(N), Dedekind domain, Defining parameters of a hypergeometric motive, Definition of $\Q_p$, Degree of a local field extension, Deligne module, Density of an integral lattice, Description of completeness, Determinant of an integral lattice, Dihedral group, Dimension, Dimensions of Atkin-Lehner subspaces, Direct SQL connection, Direct product of groups, Discriminant exponent of a local field, Discriminant of an integral lattice, Discriminant of polynomial, Discriminant root field, Divisions of a group, Download from search result pages, Dual cuspform, Dual lattice, Dual of an L-function, Eisenstein diagram, Elementary group, Elusive group, Embedded model, Endomorphism field, Endomorphism ring notation, Euclidean basis of a lattice, Euler product of an L-function, Factorization of the group order, Faithful representation, Families of abstract groups, Families of extensions of local fields, Family labels, Field is, Find an L-function by label, Find an abstract group, Function fields of class number 1, Further extent of the data on isogeny classes of abelian varieties over finite fields, Galois group, Galois invariants of a local field, Galois representations attached to an abelian variety, Galois representations attached to an elliptic curve, Galois splitting model of a local field, Gassmann equivalence, Generators of a group, Generators of permutation group, Geometric components of a modular curve, Geometrically simple, Guidelines for writing annotations, Hash for abstract groups, Hasse-Weil conjecture, Hecke algebra, Hecke operators, Heights of an extension, Herbrand function of a family, Hermite number, Hidden slopes of an extension, Hodge vector of a hypergeometric motive, Hodge vector of a hypergeometric motive, Holomorphic Eisenstein series of level 1, Honda-Tate theorem, How to cite the LMFDB, Hyperbolic plane, Hyperelementary group, Image of mod p Galois Representation of Jacobian of genus 2 curve, Image of mod-$\ell$ Galois representation, Imprimitivity index of a hypergeometric motive, Imprimitivity index of a hypergeometric motive, Include all spaces, Index 2 refinements, Index of a modular map, Indices of inseparability, Inner twist count, Inner twist group, Inner twist multiplicity, Integral Lattice, Interdependencies of group properties, Interdependencies of subgroup properties, Irreducible element, Isoclinism, Isogeny class data, Isomorphism between Weierstrass models, Isomorphism classes within an isogeny class, Jacobian of a curve, Jump set, Knowl Edit Guidelines, Known points, L-function of a classical modular form, L-function spectral parameters , Label for a $p$-adic field, Label of L-function, Label of a Maass newform, Label of a group, Label of a subgroup $\GL_2(\widehat{\Z})$, Level of an integral lattice, Levelt matrices of a hypergeometric family, Link to external definitions, MCP server, Malle's constant $a(G)$, Management board, Manin constant for elliptic curves over $\Q$, Mass of a family, Maximal ideal, Maximal quotient of a group, Metabelian group, Metacyclic group, Minimal discriminant, Minimal faithful linear representations, Minimal modular form, Minimal normal subgroup, Minimal twist, Minus space, Monomial group, Möbius function of subgroup lattice, Naive height, Newton polygon elevation, Non-cyclic primes, Nondegenerate lattice, Nontrivial inner twist, Normalizer of a split Cartan subgroup, Number fields contributed by Noam Elkies, Number of Jacobians, Number of hyperelliptic Jacobians, Oldspace decomposition for Gamma1(N), Oldspace decomposition for newform space, Ongoing work, Over-subgroup, Packets in a family, Paramodular newform, Parity of a lattice, Perfect groups, Period lattice of an elliptic curve, Permutation degree, Permutation representation, Pictures for Dirichlet characters, Plane model, Plus space, Precision of classical modular form eigenvalues, Presentation of a finite group, Primary decomposition of abelian group, Principal ideal domain, Projective image of a subgroup, Proper subgroup, Proportions for statistics, Quadratic form of a lattice, Quasisimple group, Quotient label, Ramification index of an extension of $p$-adic fields, Ramification polygon, Ramification polygon diagram, Rams, Rank, Rational character, Rational character table of a group, Reflex field of the reflex field, Reliability of Curve L-function Data, Reliability of Genus 2 Curve Data, Reliability of Weil polynomial data, Reliability of elliptic curve data, Reliability of the Classical Modular Form Data, Remarks on $X_{\mathrm{arith},1}(M,MN)$, Renaming a knowl, Residual polynomials, Residue field degree of a local field, Root analytic conductor, Root angle of L-function, Root angle of L-function, Root sublattice, Sage Mathematical Software System, Sato-Tate group of a genus 2 curve over Q, Schur multiplier, Search, Search columns, Select search columns, Self twist field, Semidirect product of groups, Semistable elliptic curve, Semistable elliptic curve, Signature of an integral lattice, Similarity of lattices, Slope content of an extension of $p$-adic fields, Slopes, Socle of a group, Sort order, Sort order for groups, Source of abstract group data, Source of Classical Modular Forms Data, Source of Genus 2 Curve Data, Source of abstract group data, Source of global number field data, Source of isogeny classes of abelian varieties over finite fields, Source of p-adic field data, Source of transitive group data, Specifying a Herbrand invariant, Spectral label, Split and non-split extension of groups, Splitting field, Standard modular curves, Stark unit of a newform of weight one, Stem extension, Stem group, Sturm bound for $\Gamma_1(N)$, Subgroup label, Subgroup labels, Subspaces of modular forms, Supersolvable group, Swan slopes, Szpiro ratio, Tame primes for hypergeometric families, The API, The canonical tower of a local field, Theta series for an integral lattice, Totals for statistics, Trace bound, Triangle group, Twist of an abelian variety, Type of a complex group representation, Type of groups , Under-subgroup, Unique factorization domain, Unit in a ring, Visible slopes, Weyl group, Z-group, j-invariant of a rational elliptic curve, p-rank, q-expansion of a modular form (mathlib), test