Newform search results

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

Results (5 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
1344.4.a.z	$1344$	$4$	1344.a	1.a	$1$	$1$	$1$	$79.299$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(16\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2^{4}q^{5}-7q^{7}+9q^{9}-18q^{11}+\cdots\)
1344.4.a.bl	$1344$	$4$	1344.a	1.a	$1$	$2$	$2$	$79.299$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-14\)	\(-14\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-7-\beta )q^{5}-7q^{7}+9q^{9}+\cdots\)
1344.4.a.bo	$1344$	$4$	1344.a	1.a	$1$	$2$	$2$	$79.299$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(-6\)	\(-14\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-3-\beta )q^{5}-7q^{7}+9q^{9}+\cdots\)
1344.4.a.bp	$1344$	$4$	1344.a	1.a	$1$	$2$	$2$	$79.299$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(4\)	\(-14\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(2+\beta )q^{5}-7q^{7}+9q^{9}+(-24+\cdots)q^{11}+\cdots\)
1344.4.a.bu	$1344$	$4$	1344.a	1.a	$1$	$3$	$3$	$79.299$	3.3.37341.1	None	✓	$1$	$0$	\(0\)	\(9\)	\(-6\)	\(-21\)		$-$	$-$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-2+\beta _{1})q^{5}-7q^{7}+9q^{9}+\cdots\)