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Edgar Costa

Introduction

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L-functions

RationalAll

Modular forms

ClassicalMaass
HilbertBianchi

Varieties

Elliptic curves
over $\Q$
over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Fields

Number fields
$p$-adic fields

Representations

Dirichlet characters
Artin representations

Groups

Galois groups
Sato-Tate groups
Abstract groups
groups
subgroups
characters
conjugacy classes

Database

  • ID: edgarcosta

Knowls

Edgar Costa has contributed to these Knowls: , $\GL_2$-type, A tour of the Riemann zeta function, Abelian varieties with one rational point, About varieties, Acknowledgments for L-functions, Atkin-Lehner involution $w_Q$, Automorphism group, Automorphism group, Belyi map label, Cohen-Macaulay type, Completeness of L-function Data, Complex embedding label, Conductor, Degree of a Belyi map, Embedding Format, Endomorphism ring notation, Frobenius Order, Galois module information, Galois orbit label, Gamma factors, Geometry type of a Belyi map, Global period of an elliptic curve, Honda-Tate theorem, How to cite the LMFDB, Infinite products, Introduction, Isogeny class of an abelian variety, Isolated point, Knowl Edit Guidelines, Label of L-function, Label of a classical modular form, Labels for isogeny classes of abelian varieties over finite fields, LuCaNT Conference, Manin constant for elliptic curves over $\Q$, Polarization, Precision of classical modular form eigenvalues, Projective space, Reliability of the Classical Modular Form Data, Remarks on $X_0(N)$, Satake parameters, Simplified equation, Source of Classical Modular Forms Data, Source of Genus 2 Curve Data, Source, reliability, and completeness, Too many zeros, Trace form, Weak equivalence class, test, weight

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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