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The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

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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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Results (4 matches)

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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	251	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8032.2.a.a	$8032$	$2$	8032.a	1.a	$1$	$1$	$1$	$64.136$	\(\Q\)	None	✓	✓			8032.2.a.a	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}-3q^{9}-6q^{11}-6q^{13}+\cdots\)
8032.2.a.b	$8032$	$2$	8032.a	1.a	$1$	$1$	$1$	$64.136$	\(\Q\)	None	✓	✓			8032.2.a.b	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}-3q^{9}+2q^{11}+2q^{13}+\cdots\)
8032.2.a.c	$8032$	$2$	8032.a	1.a	$1$	$1$	$1$	$64.136$	\(\Q\)	None	✓	✓			8032.2.a.b	$1$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}-3q^{9}-2q^{11}+2q^{13}+\cdots\)
8032.2.a.d	$8032$	$2$	8032.a	1.a	$1$	$1$	$1$	$64.136$	\(\Q\)	None	✓	✓			8032.2.a.a	$1$	$1$	\(0\)	\(0\)	\(1\)	\(3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}-3q^{9}+6q^{11}-6q^{13}+\cdots\)

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