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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	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
2072.1.k.a	$2072$	$1$	2072.k	2072.k	$2$	$1$	$1$	$1.034$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-518}) \)	\(\Q(\sqrt{74}) \)	✓	✓			2072.1.k.a	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(1\)	$1$		\(q-q^{2}+q^{4}+q^{7}-q^{8}-q^{9}-q^{14}+\cdots\)
2072.1.k.b	$2072$	$1$	2072.k	2072.k	$2$	$1$	$1$	$1.034$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-518}) \)	\(\Q(\sqrt{74}) \)	✓	✓			2072.1.k.a	$4$	$0$	\(1\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{2}+q^{4}+q^{7}+q^{8}-q^{9}+q^{14}+\cdots\)

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