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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
63.10.a.c	$63$	$10$	63.a	1.a	$1$	$2$	$2$	$32.447$	\(\Q(\sqrt{2353}) \)	None	✓				21.10.a.b	$1$	$0$	\(-9\)	\(0\)	\(-1170\)	\(-4802\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{2}+(92+9\beta )q^{4}+(-620+\cdots)q^{5}+\cdots\)
63.10.a.d	$63$	$10$	63.a	1.a	$1$	$2$	$2$	$32.447$	\(\Q(\sqrt{193}) \)	None	✓				7.10.a.a	$1$	$0$	\(6\)	\(0\)	\(2238\)	\(-4802\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{2}+(-310+6\beta )q^{4}+(1119+\cdots)q^{5}+\cdots\)
63.10.a.f	$63$	$10$	63.a	1.a	$1$	$3$	$3$	$32.447$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓		✓		21.10.a.d	$1$	$0$	\(13\)	\(0\)	\(-2398\)	\(-7203\)		$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(4+\beta _{1})q^{2}+(555+7\beta _{1}-5\beta _{2})q^{4}+\cdots\)
63.10.a.h	$63$	$10$	63.a	1.a	$1$	$6$	$6$	$32.447$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓	✓	✓	63.10.a.h	$2$	$0$	\(0\)	\(0\)	\(0\)	\(14406\)		$+$	$-$	$-$	$2^{5}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(357+\beta _{3})q^{4}+(24\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)

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