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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
35.6.a.c	$35$	$6$	35.a	1.a	$1$	$3$	$3$	$5.613$	3.3.577880.1	None	✓	✓	✓	✓	35.6.a.c	$1$	$0$	\(-6\)	\(26\)	\(-75\)	\(147\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+(9+\beta _{2})q^{3}+(38+2\beta _{2})q^{4}+\cdots\)
35.6.a.d	$35$	$6$	35.a	1.a	$1$	$4$	$4$	$5.613$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	✓	✓	✓	35.6.a.d	$1$	$0$	\(7\)	\(14\)	\(100\)	\(-196\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{2}+(4-\beta _{1}+\beta _{3})q^{3}+(15+\cdots)q^{4}+\cdots\)

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