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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 (4 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
2304.2.a.c	$2304$	$2$	2304.a	1.a	$1$	$1$	$1$	$18.398$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓				1152.2.d.b	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{5}-4q^{13}+8q^{17}-q^{25}+10q^{29}+\cdots\)
2304.2.a.m	$2304$	$2$	2304.a	1.a	$1$	$1$	$1$	$18.398$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓				1152.2.d.b	$2$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+2q^{5}-4q^{13}-8q^{17}-q^{25}-10q^{29}+\cdots\)
2304.2.a.q	$2304$	$2$	2304.a	1.a	$1$	$2$	$2$	$18.398$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-6}) \)	✓				72.2.d.a	$4$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$+$	$+$	$2$	$N(\mathrm{U}(1))$	\(q+\beta q^{5}-2q^{7}-2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots\)
2304.2.a.v	$2304$	$2$	2304.a	1.a	$1$	$2$	$2$	$18.398$	\(\Q(\sqrt{3}) \)	\(\Q(\sqrt{-3}) \)	✓				576.2.d.c	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$N(\mathrm{U}(1))$	\(q+\beta q^{7}-2\beta q^{13}-8q^{19}-5q^{25}+\cdots\)

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