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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
49.26.a.f	$49$	$26$	49.a	1.a	$1$	$16$	$16$	$194.038$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(4050\)	\(-531440\)	\(-288173088\)	\(0\)		$+$	$+$	$2^{65}\cdot 3^{19}\cdot 5^{9}\cdot 7^{31}$	$\mathrm{SU}(2)$	\(q+(253-\beta _{1})q^{2}+(-33214+8\beta _{1}+\cdots)q^{3}+\cdots\)
49.26.a.h	$49$	$26$	49.a	1.a	$1$	$24$	$24$	$194.038$		None	✓	$2$	$1$	\(-16290\)	\(0\)	\(0\)	\(0\)		$+$	$+$		$\mathrm{SU}(2)$

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