Newform search results

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

Results (5 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.j	$2166$	$4$	2166.a	1.a	$1$	$2$	$2$	$127.798$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-4\)	\(-6\)	\(-13\)	\(-17\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-4-5\beta )q^{5}+\cdots\)
2166.4.a.k	$2166$	$4$	2166.a	1.a	$1$	$2$	$2$	$127.798$	\(\Q(\sqrt{30}) \)	None	✓	$1$	$1$	\(-4\)	\(-6\)	\(8\)	\(18\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(4+\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.l	$2166$	$4$	2166.a	1.a	$1$	$2$	$2$	$127.798$	\(\Q(\sqrt{273}) \)	None	✓	$1$	$1$	\(-4\)	\(-6\)	\(11\)	\(9\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(6-\beta )q^{5}+6q^{6}+\cdots\)
2166.4.a.x	$2166$	$4$	2166.a	1.a	$1$	$4$	$4$	$127.798$	4.4.184225.1	None	✓	$1$	$1$	\(-8\)	\(-12\)	\(-28\)	\(-17\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-7+2\beta _{2}+\cdots)q^{5}+\cdots\)
2166.4.a.bj	$2166$	$4$	2166.a	1.a	$1$	$9$	$9$	$127.798$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-18\)	\(-27\)	\(27\)	\(0\)		$+$	$+$	$-$	$-$	$3\cdot 19$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(3+\beta _{1})q^{5}+\cdots\)