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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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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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
25.22.a.e	$25$	$22$	25.a	1.a	$1$	$7$	$7$	$69.869$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	✓			25.22.a.d	$1$	$0$	\(737\)	\(50381\)	\(0\)	\(817782442\)		$-$	$-$	$2^{13}\cdot 3^{3}\cdot 5^{10}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(105+\beta _{1})q^{2}+(7198-2\beta _{1}+\beta _{2}+\cdots)q^{3}+\cdots\)
25.22.a.f	$25$	$22$	25.a	1.a	$1$	$10$	$10$	$69.869$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓		✓		5.22.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$2^{30}\cdot 3^{10}\cdot 5^{24}\cdot 7^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(6\beta _{1}-\beta _{4})q^{3}+(927372+\cdots)q^{4}+\cdots\)

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