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	11	19
7942.2.a.b	$7942$	$2$	7942.a	1.a	$1$	$1$	$1$	$63.417$	\(\Q\)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-3\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}-q^{7}+\cdots\)
7942.2.a.bd	$7942$	$2$	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.bf	$7942$	$2$	7942.a	1.a	$1$	$3$	$3$	$63.417$	3.3.469.1	None	✓	$1$	$0$	\(-3\)	\(4\)	\(1\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{1})q^{3}+q^{4}-\beta _{2}q^{5}+(-1+\cdots)q^{6}+\cdots\)
7942.2.a.bu	$7942$	$2$	7942.a	1.a	$1$	$12$	$12$	$63.417$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(6\)	\(-6\)	\(-6\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+\beta _{11}q^{5}+\cdots\)
7942.2.a.bz	$7942$	$2$	7942.a	1.a	$1$	$15$	$15$	$63.417$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-15\)	\(-3\)	\(9\)	\(12\)		$+$	$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1+\beta _{12})q^{5}+\cdots\)