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.b	$2166$	$4$	2166.a	1.a	$1$	$1$	$1$	$127.798$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(3\)	\(-6\)	\(19\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}-6q^{5}-6q^{6}+\cdots\)
2166.4.a.c	$2166$	$4$	2166.a	1.a	$1$	$1$	$1$	$127.798$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(3\)	\(2\)	\(-21\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots\)
2166.4.a.m	$2166$	$4$	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.bh	$2166$	$4$	2166.a	1.a	$1$	$8$	$8$	$127.798$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-16\)	\(24\)	\(-30\)	\(-34\)		$+$	$-$	$+$	$-$	$19$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-4-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
2166.4.a.bk	$2166$	$4$	2166.a	1.a	$1$	$9$	$9$	$127.798$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-18\)	\(27\)	\(-3\)	\(30\)		$+$	$-$	$+$	$-$	$19$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+\beta _{1}q^{5}-6q^{6}+\cdots\)