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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	17
6069.2.a.d	$6069$	$2$	6069.a	1.a	$1$	$1$	$1$	$48.461$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-3q^{11}+\cdots\)
6069.2.a.g	$6069$	$2$	6069.a	1.a	$1$	$2$	$2$	$48.461$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(2\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(1+\beta )q^{5}+\beta q^{6}+q^{7}+\cdots\)
6069.2.a.m	$6069$	$2$	6069.a	1.a	$1$	$3$	$3$	$48.461$	3.3.148.1	None	✓	$1$	$1$	\(-2\)	\(3\)	\(-3\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6069.2.a.q	$6069$	$2$	6069.a	1.a	$1$	$3$	$3$	$48.461$	3.3.257.1	None	✓	$1$	$1$	\(0\)	\(3\)	\(-2\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
6069.2.a.y	$6069$	$2$	6069.a	1.a	$1$	$6$	$6$	$48.461$	6.6.2803712.1	None	✓	$1$	$1$	\(0\)	\(6\)	\(-6\)	\(6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-1-\beta _{1}+\cdots)q^{5}+\cdots\)
6069.2.a.bc	$6069$	$2$	6069.a	1.a	$1$	$9$	$9$	$48.461$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(9\)	\(-3\)	\(9\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1-\beta _{3}+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)