Newform search results

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

Results (9 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	13
1183.2.a.b	$1183$	$2$	1183.a	1.a	$1$	$1$	$1$	$9.446$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(3\)	\(1\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+3q^{5}+q^{7}-3q^{9}+\cdots\)
1183.2.a.f	$1183$	$2$	1183.a	1.a	$1$	$2$	$2$	$9.446$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(3+\cdots)q^{6}+\cdots\)
1183.2.a.g	$1183$	$2$	1183.a	1.a	$1$	$2$	$2$	$9.446$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(-3\)	\(3\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots\)
1183.2.a.i	$1183$	$2$	1183.a	1.a	$1$	$3$	$3$	$9.446$	3.3.316.1	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(-2\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1183.2.a.j	$1183$	$2$	1183.a	1.a	$1$	$3$	$3$	$9.446$	3.3.148.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(3\)	\(-3\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+\beta _{2}q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1183.2.a.l	$1183$	$2$	1183.a	1.a	$1$	$4$	$4$	$9.446$	4.4.27004.1	None	✓	$1$	$0$	\(1\)	\(1\)	\(7\)	\(4\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1183.2.a.p	$1183$	$2$	1183.a	1.a	$1$	$6$	$6$	$9.446$	6.6.7674048.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(6\)	\(-6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-\beta _{4}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1183.2.a.q	$1183$	$2$	1183.a	1.a	$1$	$12$	$12$	$9.446$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(8\)	\(4\)	\(-12\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{6})q^{3}+(2-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)
1183.2.a.r	$1183$	$2$	1183.a	1.a	$1$	$12$	$12$	$9.446$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(8\)	\(-4\)	\(12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{6})q^{3}+(2-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)