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	11	19
7942.2.a.e	$7942$	$2$	7942.a	1.a	$1$	$1$	$1$	$63.417$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-3q^{5}+3q^{7}-q^{8}-3q^{9}+\cdots\)
7942.2.a.h	$7942$	$2$	7942.a	1.a	$1$	$1$	$1$	$63.417$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-4\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7942.2.a.k	$7942$	$2$	7942.a	1.a	$1$	$1$	$1$	$63.417$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(2\)	\(2\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}+2q^{7}+\cdots\)
7942.2.a.t	$7942$	$2$	7942.a	1.a	$1$	$2$	$2$	$63.417$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(-3\)	\(3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
7942.2.a.v	$7942$	$2$	7942.a	1.a	$1$	$2$	$2$	$63.417$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+\beta q^{7}-q^{8}+\cdots\)
7942.2.a.bt	$7942$	$2$	7942.a	1.a	$1$	$12$	$12$	$63.417$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-12\)	\(3\)	\(-9\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
7942.2.a.cc	$7942$	$2$	7942.a	1.a	$1$	$16$	$16$	$63.417$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(-16\)	\(-10\)	\(0\)	\(6\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{5}q^{5}+\cdots\)