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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 (3 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	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2116.2.a.g	$2116$	$2$	2116.a	1.a	$1$	$6$	$6$	$16.896$	6.6.197448192.1	None	✓	✓			2116.2.a.g	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}+\beta _{3}q^{5}+(-\beta _{1}+\beta _{3})q^{7}+\cdots\)
2116.2.a.h	$2116$	$2$	2116.a	1.a	$1$	$8$	$8$	$16.896$	8.8.5780865024.1	None	✓	✓			2116.2.a.h	$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}-\beta _{5})q^{3}-\beta _{7}q^{5}+(\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots\)
2116.2.a.j	$2116$	$2$	2116.a	1.a	$1$	$10$	$10$	$16.896$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓		✓		92.2.e.a	$1$	$0$	\(0\)	\(1\)	\(12\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}+\beta _{4})q^{3}+(1+\beta _{2}-\beta _{3}-\beta _{6}+\cdots)q^{5}+\cdots\)

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