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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
63.10.a.a	$63$	$10$	63.a	1.a	$1$	$1$	$1$	$32.447$	\(\Q\)	None	✓				21.10.a.a	$1$	$1$	\(24\)	\(0\)	\(144\)	\(2401\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+24q^{2}+2^{6}q^{4}+12^{2}q^{5}+7^{4}q^{7}+\cdots\)
63.10.a.b	$63$	$10$	63.a	1.a	$1$	$2$	$2$	$32.447$	\(\Q(\sqrt{345}) \)	None	✓				21.10.a.c	$1$	$1$	\(-30\)	\(0\)	\(-1128\)	\(4802\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-15-\beta )q^{2}+(58+30\beta )q^{4}+(-564+\cdots)q^{5}+\cdots\)
63.10.a.e	$63$	$10$	63.a	1.a	$1$	$3$	$3$	$32.447$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓		✓		7.10.a.b	$1$	$1$	\(-21\)	\(0\)	\(-1554\)	\(7203\)		$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(-7+\beta _{2})q^{2}+(519+7\beta _{1}-8\beta _{2})q^{4}+\cdots\)

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