Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (3 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	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
1176.4.a.c	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-11\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-11q^{5}+9q^{9}+39q^{11}-2^{5}q^{13}+\cdots\)
1176.4.a.r	$1176$	$4$	1176.a	1.a	$1$	$2$	$2$	$69.386$	\(\Q(\sqrt{505}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(9\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+(5-\beta )q^{5}+9q^{9}+(5-5\beta )q^{11}+\cdots\)
1176.4.a.bb	$1176$	$4$	1176.a	1.a	$1$	$4$	$4$	$69.386$	4.4.145408.2	None	✓	$1$	$0$	\(0\)	\(-12\)	\(8\)	\(0\)		$+$	$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(2+\beta _{2}+3\beta _{3})q^{5}+9q^{9}+\cdots\)