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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 (5 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	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
425.2.a.e	$425$	$2$	425.a	1.a	$1$	$2$	$2$	$3.394$	\(\Q(\sqrt{3}) \)	None	✓				85.2.a.c	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1-\beta )q^{3}+q^{4}+(-3-\beta )q^{6}+\cdots\)
425.2.a.f	$425$	$2$	425.a	1.a	$1$	$2$	$2$	$3.394$	\(\Q(\sqrt{2}) \)	None	✓				85.2.a.b	$1$	$0$	\(2\)	\(4\)	\(0\)	\(4\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(2-\beta )q^{3}+(1+2\beta )q^{4}+\cdots\)
425.2.a.h	$425$	$2$	425.a	1.a	$1$	$4$	$4$	$3.394$	4.4.6224.1	None	✓				85.2.b.a	$1$	$0$	\(2\)	\(4\)	\(0\)	\(10\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{2}+(1-\beta _{1})q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
425.2.a.i	$425$	$2$	425.a	1.a	$1$	$5$	$5$	$3.394$	5.5.1893456.1	None	✓	✓	✓		425.2.a.i	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(1\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+\beta _{1}q^{3}+(2+\beta _{1}+\beta _{2}+\beta _{4})q^{4}+\cdots\)
425.2.a.j	$425$	$2$	425.a	1.a	$1$	$5$	$5$	$3.394$	5.5.1893456.1	None	✓	✓	✓		425.2.a.i	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}-\beta _{1}q^{3}+(2+\beta _{1}+\beta _{2}+\beta _{4})q^{4}+\cdots\)

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