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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4212.2.a.g	$4212$	$2$	4212.a	1.a	$1$	$4$	$4$	$33.633$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	✓			4212.2.a.g	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{5}+\beta _{2}q^{7}-\beta _{3}q^{11}-q^{13}+\cdots\)
4212.2.a.k	$4212$	$2$	4212.a	1.a	$1$	$6$	$6$	$33.633$	6.6.35342001.1	None	✓		✓		468.2.i.c	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(0\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{5}+(-\beta _{1}+\beta _{3})q^{7}+(\beta _{1}-\beta _{3}+\cdots)q^{11}+\cdots\)

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