Newform search results

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

Results (5 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	7	19
4788.2.a.a	$4788$	$2$	4788.a	1.a	$1$	$1$	$1$	$38.232$	\(\Q\)	None	✓				1596.2.a.e	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-q^{7}-6q^{11}+2q^{13}+2q^{17}+\cdots\)
4788.2.a.c	$4788$	$2$	4788.a	1.a	$1$	$1$	$1$	$38.232$	\(\Q\)	None	✓				1596.2.a.a	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}+2q^{11}+6q^{13}+8q^{17}+q^{19}+\cdots\)
4788.2.a.d	$4788$	$2$	4788.a	1.a	$1$	$1$	$1$	$38.232$	\(\Q\)	None	✓				1596.2.a.c	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-q^{7}+2q^{11}+2q^{13}-2q^{17}+\cdots\)
4788.2.a.k	$4788$	$2$	4788.a	1.a	$1$	$2$	$2$	$38.232$	\(\Q(\sqrt{7}) \)	None	✓				1596.2.a.f	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}-q^{7}-2\beta q^{11}+(-3+\beta )q^{17}+\cdots\)
4788.2.a.n	$4788$	$2$	4788.a	1.a	$1$	$2$	$2$	$38.232$	\(\Q(\sqrt{5}) \)	None	✓				532.2.a.d	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+2\beta )q^{5}-q^{7}+(1+\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)

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