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By degree:	1 2 3 4
By motivic weight:	0 1 2 3
By conductor:	1-99 100-999 1000-9999 10000-100000 >100000
By lowest zero
A plot of classical modular form L-functions by analytic conductor, first zero and weight
Some interesting L-functions in degree 1, 2, 3, 4
A random L-function in degree 1, 2, 3, 4

By origin

Dirichlet character	Classical modular form	Elliptic curve over $\mathbb{Q}$	Artin representation
Hilbert modular form	Bianchi modular form	Elliptic curve over $\mathbb{Q}(\sqrt{d})$	Genus 2 curve over $\mathbb{Q}$
$\operatorname{GL}_3$ Maass form	$\operatorname{GL}_4$ Maass form	$\operatorname{GSp}_4$ Maass form

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Lowest zero		e.g. 9.22237, 10-20	Degree		e.g. 2, 3-4
Conductor		e.g. 37, 10-20	Bad \(p\)		e.g. 2,3
Analytic conductor		e.g. 0.1-0.3	Root analytic conductor		e.g. 0.1-0.3
Central character		e.g. 37.1	Motivic weight		e.g. 2
Analytic rank		e.g. 2	Root angle		e.g. 0.5, -0.1-0.1
Spectral label		e.g. r0e4-c4.72c12.47	Primitive
Origin			Exclude origin
Self-dual			Arithmetic
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