Newform search results

The results below are complete, since the LMFDB contains all newforms with trivial character and $Nk^2$ at most 40000

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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	19	53
6042.2.a.z	$6042$	$2$	6042.a	1.a	$1$	$9$	$9$	$48.246$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓	✓	6042.2.a.z	$1$	$0$	\(-9\)	\(-9\)	\(-1\)	\(4\)		$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta _{6}q^{5}+q^{6}-\beta _{3}q^{7}+\cdots\)
6042.2.a.ba	$6042$	$2$	6042.a	1.a	$1$	$9$	$9$	$48.246$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓		6042.2.a.ba	$1$	$0$	\(-9\)	\(9\)	\(2\)	\(10\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta _{6}q^{5}-q^{6}+(1+\cdots)q^{7}+\cdots\)
6042.2.a.bb	$6042$	$2$	6042.a	1.a	$1$	$9$	$9$	$48.246$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓	✓	6042.2.a.bb	$1$	$1$	\(9\)	\(-9\)	\(-5\)	\(-5\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1-\beta _{2})q^{5}-q^{6}+\cdots\)
6042.2.a.bc	$6042$	$2$	6042.a	1.a	$1$	$9$	$9$	$48.246$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	✓	✓		6042.2.a.bc	$1$	$1$	\(9\)	\(-9\)	\(-3\)	\(-7\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)

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