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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
24.22.a.b	$24$	$22$	24.a	1.a	$1$	$3$	$3$	$67.075$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-177147\)	\(-4833126\)	\(271431024\)		$-$	$+$	$-$	$2^{21}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+(-1611042-\beta _{1})q^{5}+\cdots\)
24.22.a.d	$24$	$22$	24.a	1.a	$1$	$3$	$3$	$67.075$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(177147\)	\(5280498\)	\(852542376\)		$+$	$-$	$-$	$2^{21}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}+(1760166-\beta _{1})q^{5}+(284180792+\cdots)q^{7}+\cdots\)

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