LMFDB - Hilbert modular form search results

Refine search

Base field	Base field degree	Base field discriminant	CM	Field bad primes

Weight	Level norm	Dimension	Base change	Level bad primes

		Sort order	Select

Results (1-50 of 1072 matches)

Next Download displayed columns for results to

Label	Base field	Field degree	Field discriminant	Level	Level norm	Weight	Dimension	Base change
1.1-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[1, 1, 1]$	$1$	$[2, 2, 2, 2, 2, 2]$	$1$	✓
13.1-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[13, 13, w^{5} - 5w^{3} + 4w]$	$13$	$[2, 2, 2, 2, 2, 2]$	$2$	✓
25.1-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[25, 5, w^{5} - 5w^{3} + 6w - 1]$	$25$	$[2, 2, 2, 2, 2, 2]$	$3$	✓
25.2-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[25,5,w^{3} - w^{2} - 3w + 1]$	$25$	$[2, 2, 2, 2, 2, 2]$	$3$	✓
25.3-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[25,5,-w^{5} + 4w^{3} + w^{2} - 3w - 2]$	$25$	$[2, 2, 2, 2, 2, 2]$	$3$	✓
27.1-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$	✓
27.1-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[27, 3, w^{4} - w^{3} - 4w^{2} + 2w + 2]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$	✓
27.2-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$	✓
27.2-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[27,3,-w^{4} + w^{3} + 4w^{2} - 2w - 3]$	$27$	$[2, 2, 2, 2, 2, 2]$	$1$	✓
53.1-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.1-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.1-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53, 53, -w^{4} + w^{3} + 3w^{2} - 2w + 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.2-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.2-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.2-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{4} - w^{3} - 4w^{2} + 3w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.3-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.3-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.3-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{5} - w^{4} - 4w^{3} + 4w^{2} + 3w - 1]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.4-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,-w^{3} + 2w + 2]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.4-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,-w^{3} + 2w + 2]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.4-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,-w^{3} + 2w + 2]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.5-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.5-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.5-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,-w^{5} + 5w^{3} + w^{2} - 5w]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
53.6-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{4} - 4w^{2} - w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$1$
53.6-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{4} - 4w^{2} - w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$2$
53.6-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[53,53,w^{4} - 4w^{2} - w + 4]$	$53$	$[2, 2, 2, 2, 2, 2]$	$3$
64.1-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$1$	✓
64.1-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$1$	✓
64.1-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$2$	✓
64.1-d	$\Q(\zeta_{13})^+$	$6$	$371293$	$[64, 2, -2]$	$64$	$[2, 2, 2, 2, 2, 2]$	$3$	✓
79.1-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-d	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.1-e	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79, 79, -2w^{5} + w^{4} + 9w^{3} - 3w^{2} - 9w + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$5$
79.2-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-d	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.2-e	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{5} - w^{4} + 5w^{3} + 4w^{2} - 6w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$5$
79.3-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-d	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.3-e	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,-w^{3} + w^{2} + 4w - 1]$	$79$	$[2, 2, 2, 2, 2, 2]$	$5$
79.4-a	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.4-b	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.4-c	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$
79.4-d	$\Q(\zeta_{13})^+$	$6$	$371293$	$[79,79,w^{5} - 3w^{3} - w^{2} + 2]$	$79$	$[2, 2, 2, 2, 2, 2]$	$1$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 1072 matches)

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