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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	7	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
4788.2.a.e	$4788$	$2$	4788.a	1.a	$1$	$1$	$1$	$38.232$	\(\Q\)	None	✓				532.2.a.a	$1$	$1$	\(0\)	\(0\)	\(2\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{7}-4q^{11}+4q^{13}-6q^{17}+\cdots\)
4788.2.a.f	$4788$	$2$	4788.a	1.a	$1$	$1$	$1$	$38.232$	\(\Q\)	None	✓				1596.2.a.d	$1$	$1$	\(0\)	\(0\)	\(2\)	\(1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{7}+2q^{11}-6q^{13}-2q^{17}+\cdots\)
4788.2.a.g	$4788$	$2$	4788.a	1.a	$1$	$2$	$2$	$38.232$	\(\Q(\sqrt{21}) \)	None	✓				532.2.a.c	$1$	$1$	\(0\)	\(0\)	\(-6\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+q^{7}+(2-\beta )q^{11}-q^{13}+(-2+\cdots)q^{17}+\cdots\)
4788.2.a.h	$4788$	$2$	4788.a	1.a	$1$	$2$	$2$	$38.232$	\(\Q(\sqrt{2}) \)	None	✓				1596.2.a.h	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+q^{7}-2q^{11}-2\beta q^{13}-3\beta q^{17}+\cdots\)

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