Newform search results

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

Results (7 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	19
2166.4.a.d	$2166$	$4$	2166.a	1.a	$1$	$1$	$1$	$127.798$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(-7\)	\(-15\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-7q^{5}-6q^{6}+\cdots\)
2166.4.a.e	$2166$	$4$	2166.a	1.a	$1$	$1$	$1$	$127.798$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(-6\)	\(19\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}-6q^{5}-6q^{6}+\cdots\)
2166.4.a.f	$2166$	$4$	2166.a	1.a	$1$	$1$	$1$	$127.798$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(2\)	\(-21\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
2166.4.a.g	$2166$	$4$	2166.a	1.a	$1$	$1$	$1$	$127.798$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(12\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+12q^{5}-6q^{6}+\cdots\)
2166.4.a.z	$2166$	$4$	2166.a	1.a	$1$	$4$	$4$	$127.798$	4.4.8742025.2	None	✓	$1$	$0$	\(8\)	\(-12\)	\(0\)	\(28\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
2166.4.a.be	$2166$	$4$	2166.a	1.a	$1$	$6$	$6$	$127.798$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(-18\)	\(-1\)	\(28\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(1-\beta _{1}+2\beta _{2}+\cdots)q^{5}+\cdots\)
2166.4.a.bl	$2166$	$4$	2166.a	1.a	$1$	$9$	$9$	$127.798$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(18\)	\(-27\)	\(-3\)	\(30\)		$-$	$+$	$-$	$+$	$19$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+\beta _{1}q^{5}-6q^{6}+\cdots\)