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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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8624.2.a.bg	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓				616.2.q.b	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+\beta q^{5}-2\beta q^{9}-q^{11}+\cdots\)
8624.2.a.bn	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓				4312.2.a.p	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{5}-3q^{9}-q^{11}-\beta q^{13}+2\beta q^{17}+\cdots\)
8624.2.a.bq	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓				4312.2.a.s	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}-q^{9}-q^{11}-2q^{15}+\cdots\)
8624.2.a.br	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓				4312.2.a.r	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{9}-q^{11}-2\beta q^{13}+\cdots\)
8624.2.a.cq	$8624$	$2$	8624.a	1.a	$1$	$3$	$3$	$68.863$	\(\Q(\zeta_{14})^+\)	None	✓				616.2.q.c	$1$	$1$	\(0\)	\(5\)	\(-2\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{3}+(-2+\beta _{1}-3\beta _{2})q^{5}+\cdots\)
8624.2.a.cw	$8624$	$2$	8624.a	1.a	$1$	$4$	$4$	$68.863$	\(\Q(\zeta_{24})^+\)	None	✓				4312.2.a.bc	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{1}q^{5}+3q^{9}-q^{11}+(\beta _{1}+\cdots)q^{13}+\cdots\)
8624.2.a.da	$8624$	$2$	8624.a	1.a	$1$	$5$	$5$	$68.863$	5.5.352076.1	None	✓		✓		616.2.q.e	$1$	$1$	\(0\)	\(-3\)	\(4\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(1-\beta _{1}+\beta _{4})q^{5}+\cdots\)

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