Newform search results

The results below are complete, since the LMFDB contains all newforms with $Nk^2$ at most 4000

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	11
176.4.a.b	$176$	$4$	176.a	1.a	$1$	$1$	$1$	$10.384$	\(\Q\)	None	✓				22.4.a.b	$1$	$0$	\(0\)	\(-4\)	\(14\)	\(8\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+14q^{5}+8q^{7}-11q^{9}+11q^{11}+\cdots\)
176.4.a.e	$176$	$4$	176.a	1.a	$1$	$1$	$1$	$10.384$	\(\Q\)	None	✓				44.4.a.a	$1$	$0$	\(0\)	\(5\)	\(-7\)	\(26\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}-7q^{5}+26q^{7}-2q^{9}+11q^{11}+\cdots\)
176.4.a.h	$176$	$4$	176.a	1.a	$1$	$2$	$2$	$10.384$	\(\Q(\sqrt{5}) \)	None	✓				88.4.a.c	$1$	$0$	\(0\)	\(2\)	\(-6\)	\(56\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-3+4\beta )q^{5}+(28+\beta )q^{7}+\cdots\)
176.4.a.i	$176$	$4$	176.a	1.a	$1$	$2$	$2$	$10.384$	\(\Q(\sqrt{3}) \)	None	✓		✓		11.4.a.a	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-20\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(1+2\beta )q^{5}+(-10+\beta )q^{7}+\cdots\)
176.4.a.j	$176$	$4$	176.a	1.a	$1$	$3$	$3$	$10.384$	3.3.11109.1	None	✓		✓		88.4.a.d	$1$	$0$	\(0\)	\(-2\)	\(8\)	\(-24\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(3+\beta _{2})q^{5}+(-8+\cdots)q^{7}+\cdots\)

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