Newform search results

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

Results (7 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	7	13
9464.2.a.a	$9464$	$2$	9464.a	1.a	$1$	$1$	$1$	$75.570$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-q^{7}+q^{9}-4q^{11}-2q^{15}+\cdots\)
9464.2.a.f	$9464$	$2$	9464.a	1.a	$1$	$1$	$1$	$75.570$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}-2q^{15}+\cdots\)
9464.2.a.m	$9464$	$2$	9464.a	1.a	$1$	$2$	$2$	$75.570$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}-\beta q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
9464.2.a.s	$9464$	$2$	9464.a	1.a	$1$	$2$	$2$	$75.570$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(5\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2+\beta )q^{5}-q^{7}+(-2+\beta )q^{9}+\cdots\)
9464.2.a.w	$9464$	$2$	9464.a	1.a	$1$	$4$	$4$	$75.570$	4.4.27004.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(5\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(1-\beta _{3})q^{5}-q^{7}+\cdots\)
9464.2.a.ba	$9464$	$2$	9464.a	1.a	$1$	$4$	$4$	$75.570$	4.4.183064.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{3}q^{5}-q^{7}+(2+\beta _{2})q^{9}+\cdots\)
9464.2.a.br	$9464$	$2$	9464.a	1.a	$1$	$15$	$15$	$75.570$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-4\)	\(-15\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{6}q^{5}-q^{7}+(1+\beta _{2})q^{9}+\cdots\)