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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.a	$425$	$2$	425.a	1.a	$1$	$1$	$1$	$3.394$	\(\Q\)	None	✓				85.2.a.a	$1$	$1$	\(-1\)	\(-2\)	\(0\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}+2q^{6}+2q^{7}+3q^{8}+\cdots\)
425.2.a.b	$425$	$2$	425.a	1.a	$1$	$1$	$1$	$3.394$	\(\Q\)	None	✓	✓			425.2.a.b	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-q^{6}-q^{7}+3q^{8}+\cdots\)
425.2.a.c	$425$	$2$	425.a	1.a	$1$	$1$	$1$	$3.394$	\(\Q\)	None	✓	✓			425.2.a.b	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{6}+q^{7}-3q^{8}+\cdots\)
425.2.a.d	$425$	$2$	425.a	1.a	$1$	$1$	$1$	$3.394$	\(\Q\)	None	✓				17.2.a.a	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-4q^{7}-3q^{8}-3q^{9}+2q^{13}+\cdots\)
425.2.a.g	$425$	$2$	425.a	1.a	$1$	$4$	$4$	$3.394$	4.4.6224.1	None	✓		✓		85.2.b.a	$1$	$1$	\(-2\)	\(-4\)	\(0\)	\(-10\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{3})q^{2}+(-1+\beta _{1})q^{3}+(1+\cdots)q^{4}+\cdots\)

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