Newform search results

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

Results (4 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.o	$2166$	$4$	2166.a	1.a	$1$	$2$	$2$	$127.798$	\(\Q(\sqrt{313}) \)	None	✓	$1$	$1$	\(4\)	\(-6\)	\(-15\)	\(9\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-7-\beta )q^{5}+\cdots\)
2166.4.a.u	$2166$	$4$	2166.a	1.a	$1$	$3$	$3$	$127.798$	3.3.14457.1	None	✓	$1$	$1$	\(6\)	\(-9\)	\(10\)	\(7\)		$-$	$+$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)
2166.4.a.bf	$2166$	$4$	2166.a	1.a	$1$	$6$	$6$	$127.798$	6.6.\(\cdots\).1	None	✓	$1$	$1$	\(12\)	\(-18\)	\(27\)	\(-42\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(4+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
2166.4.a.bi	$2166$	$4$	2166.a	1.a	$1$	$8$	$8$	$127.798$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(16\)	\(-24\)	\(-30\)	\(-34\)		$-$	$+$	$+$	$-$	$19$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-4-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)