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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
49.4.a.d	$49$	$4$	49.a	1.a	$1$	$1$	$1$	$2.891$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(7\)	\(7\)	\(0\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+7q^{3}-4q^{4}+7q^{5}+14q^{6}+\cdots\)
49.4.a.e	$49$	$4$	49.a	1.a	$1$	$4$	$4$	$2.891$	\(\Q(\sqrt{2}, \sqrt{65})\)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$7$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+\beta _{2}q^{3}+(9+\beta _{1})q^{4}+\cdots\)

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