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The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
245.4.a.e	$245$	$4$	245.a	1.a	$1$	$1$	$1$	$14.455$	\(\Q\)	None	✓				35.4.e.a	$1$	$1$	\(3\)	\(-2\)	\(5\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}-2q^{3}+q^{4}+5q^{5}-6q^{6}+\cdots\)
245.4.a.g	$245$	$4$	245.a	1.a	$1$	$2$	$2$	$14.455$	\(\Q(\sqrt{2}) \)	None	✓				35.4.e.b	$1$	$1$	\(-6\)	\(-2\)	\(10\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-3+\beta )q^{2}+(-1-3\beta )q^{3}+(3-6\beta )q^{4}+\cdots\)
245.4.a.o	$245$	$4$	245.a	1.a	$1$	$6$	$6$	$14.455$	6.6.1163891200.1	None	✓	✓	✓		245.4.a.o	$1$	$1$	\(-2\)	\(-16\)	\(30\)	\(0\)		$-$	$+$	$-$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-3+\beta _{5})q^{3}+(2+3\beta _{1}+\cdots)q^{4}+\cdots\)

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