Newform search results

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

Results (6 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.a	$2166$	$4$	2166.a	1.a	$1$	$1$	$1$	$127.798$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(3\)	\(-11\)	\(-15\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}-11q^{5}-6q^{6}+\cdots\)
2166.4.a.n	$2166$	$4$	2166.a	1.a	$1$	$2$	$2$	$127.798$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-4\)	\(6\)	\(18\)	\(4\)		$+$	$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(9+\beta )q^{5}-6q^{6}+\cdots\)
2166.4.a.t	$2166$	$4$	2166.a	1.a	$1$	$3$	$3$	$127.798$	3.3.14457.1	None	✓	$1$	$0$	\(-6\)	\(9\)	\(10\)	\(7\)		$+$	$-$	$-$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)
2166.4.a.y	$2166$	$4$	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.bc	$2166$	$4$	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.bd	$2166$	$4$	2166.a	1.a	$1$	$6$	$6$	$127.798$	6.6.\(\cdots\).1	None	✓	$1$	$0$	\(-12\)	\(18\)	\(27\)	\(-42\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(4+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)