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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 (7 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
2592.2.a.d	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	\(\Q\)	None	✓	✓			2592.2.a.c	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-2q^{11}+q^{13}-3q^{17}+\cdots\)
2592.2.a.e	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	\(\Q\)	None	✓	✓			2592.2.a.c	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}-2q^{11}+q^{13}+3q^{17}+\cdots\)
2592.2.a.g	$2592$	$2$	2592.a	1.a	$1$	$1$	$1$	$20.697$	\(\Q\)	None	✓				288.2.i.a	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-2q^{7}-5q^{11}-2q^{13}-3q^{17}+\cdots\)
2592.2.a.j	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{6}) \)	None	✓				288.2.i.c	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{11}+(1+\cdots)q^{13}+\cdots\)
2592.2.a.k	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-1}) \)	✓	✓			2592.2.a.k	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$+$	$2$	$N(\mathrm{U}(1))$	\(q+(-1+\beta )q^{5}+(-3-\beta )q^{13}+(1-2\beta )q^{17}+\cdots\)
2592.2.a.l	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{3}) \)	None	✓				288.2.i.d	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}-\beta q^{11}-3q^{13}+4q^{17}+\cdots\)
2592.2.a.m	$2592$	$2$	2592.a	1.a	$1$	$2$	$2$	$20.697$	\(\Q(\sqrt{6}) \)	None	✓	✓			2592.2.a.m	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}-\beta q^{11}+3q^{13}-5q^{17}+\cdots\)

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