Newform search results

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

Results (8 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	11	19
7942.2.a.r	$7942$	$2$	7942.a	1.a	$1$	$1$	$1$	$63.417$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(-3\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}-3q^{5}+2q^{6}-q^{7}+\cdots\)
7942.2.a.x	$7942$	$2$	7942.a	1.a	$1$	$2$	$2$	$63.417$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(-1\)	\(4\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}+2q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots\)
7942.2.a.z	$7942$	$2$	7942.a	1.a	$1$	$2$	$2$	$63.417$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(1\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+(2-3\beta )q^{5}+\beta q^{6}+\cdots\)
7942.2.a.bb	$7942$	$2$	7942.a	1.a	$1$	$2$	$2$	$63.417$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(3\)	\(-1\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
7942.2.a.bj	$7942$	$2$	7942.a	1.a	$1$	$3$	$3$	$63.417$	3.3.1940.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+2q^{5}+\beta _{1}q^{6}+\cdots\)
7942.2.a.bq	$7942$	$2$	7942.a	1.a	$1$	$8$	$8$	$63.417$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(1\)	\(-3\)	\(0\)		$-$	$-$	$-$	$-$	$5$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
7942.2.a.br	$7942$	$2$	7942.a	1.a	$1$	$8$	$8$	$63.417$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(4\)	\(1\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{1}+\beta _{7})q^{3}+q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
7942.2.a.cb	$7942$	$2$	7942.a	1.a	$1$	$15$	$15$	$63.417$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(15\)	\(3\)	\(9\)	\(12\)		$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{12})q^{5}+\cdots\)