Newform search results

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

Results (8 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	7	11
1155.4.a.p	$1155$	$4$	1155.a	1.a	$1$	$7$	$7$	$68.147$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-21\)	\(35\)	\(-49\)		$+$	$-$	$+$	$-$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1155.4.a.q	$1155$	$4$	1155.a	1.a	$1$	$8$	$8$	$68.147$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-24\)	\(40\)	\(56\)		$+$	$-$	$-$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{2})q^{4}+5q^{5}+\cdots\)
1155.4.a.r	$1155$	$4$	1155.a	1.a	$1$	$8$	$8$	$68.147$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(-24\)	\(-40\)	\(-56\)		$+$	$+$	$+$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}-5q^{5}+\cdots\)
1155.4.a.s	$1155$	$4$	1155.a	1.a	$1$	$8$	$8$	$68.147$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(24\)	\(-40\)	\(-56\)		$-$	$+$	$+$	$-$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots\)
1155.4.a.t	$1155$	$4$	1155.a	1.a	$1$	$9$	$9$	$68.147$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(27\)	\(45\)	\(-63\)		$-$	$-$	$+$	$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1155.4.a.u	$1155$	$4$	1155.a	1.a	$1$	$9$	$9$	$68.147$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(27\)	\(-45\)	\(63\)		$-$	$+$	$-$	$+$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{2})q^{4}-5q^{5}+\cdots\)
1155.4.a.v	$1155$	$4$	1155.a	1.a	$1$	$9$	$9$	$68.147$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-27\)	\(-45\)	\(63\)		$+$	$+$	$-$	$-$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1155.4.a.w	$1155$	$4$	1155.a	1.a	$1$	$10$	$10$	$68.147$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(6\)	\(30\)	\(50\)	\(70\)		$-$	$-$	$-$	$-$	$+$	$2^{7}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+3q^{3}+(6-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)