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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 (6 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1536.2.a.a	$1536$	$2$	1536.a	1.a	$1$	$2$	$2$	$12.265$	\(\Q(\sqrt{2}) \)	None	✓	✓			1536.2.a.a	$1$	$1$	\(0\)	\(-2\)	\(-4\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-2+\beta )q^{5}+\beta q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
1536.2.a.c	$1536$	$2$	1536.a	1.a	$1$	$2$	$2$	$12.265$	\(\Q(\sqrt{2}) \)	None	✓	✓			1536.2.a.c	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}-\beta q^{7}+q^{9}-2q^{11}+\cdots\)
1536.2.a.e	$1536$	$2$	1536.a	1.a	$1$	$2$	$2$	$12.265$	\(\Q(\sqrt{2}) \)	None	✓	✓			1536.2.a.b	$1$	$1$	\(0\)	\(-2\)	\(4\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(2+\beta )q^{5}+(-2+\beta )q^{7}+q^{9}+\cdots\)
1536.2.a.g	$1536$	$2$	1536.a	1.a	$1$	$2$	$2$	$12.265$	\(\Q(\sqrt{2}) \)	None	✓	✓			1536.2.a.b	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(-4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2+\beta )q^{5}+(-2-\beta )q^{7}+\cdots\)
1536.2.a.h	$1536$	$2$	1536.a	1.a	$1$	$2$	$2$	$12.265$	\(\Q(\sqrt{2}) \)	None	✓	✓			1536.2.a.a	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2+\beta )q^{5}-\beta q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
1536.2.a.i	$1536$	$2$	1536.a	1.a	$1$	$2$	$2$	$12.265$	\(\Q(\sqrt{2}) \)	None	✓	✓			1536.2.a.d	$2$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta q^{5}-3\beta q^{7}+q^{9}-6q^{11}+\cdots\)

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