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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
10.22.a.a	$10$	$22$	10.a	1.a	$1$	$1$	$1$	$27.948$	\(\Q\)	None	✓	✓	✓	✓	10.22.a.a	$1$	$1$	\(1024\)	\(-21924\)	\(9765625\)	\(-722753248\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{10}q^{2}-21924q^{3}+2^{20}q^{4}+5^{10}q^{5}+\cdots\)
10.22.a.b	$10$	$22$	10.a	1.a	$1$	$2$	$2$	$27.948$	\(\Q(\sqrt{157921}) \)	None	✓	✓	✓	✓	10.22.a.b	$1$	$1$	\(-2048\)	\(-126692\)	\(-19531250\)	\(-292598684\)		$+$	$+$	$+$	$2^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q-2^{10}q^{2}+(-63346-\beta )q^{3}+2^{20}q^{4}+\cdots\)

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