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	7	13
5824.2.a.g	$5824$	$2$	5824.a	1.a	$1$	$1$	$1$	$46.505$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}-q^{7}-2q^{9}+q^{11}-q^{13}+\cdots\)
5824.2.a.n	$5824$	$2$	5824.a	1.a	$1$	$1$	$1$	$46.505$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-q^{7}-3q^{9}-2q^{11}-q^{13}+\cdots\)
5824.2.a.p	$5824$	$2$	5824.a	1.a	$1$	$1$	$1$	$46.505$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-q^{7}-3q^{9}+4q^{11}-q^{13}+\cdots\)
5824.2.a.bb	$5824$	$2$	5824.a	1.a	$1$	$1$	$1$	$46.505$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-1\)	\(-1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
5824.2.a.bj	$5824$	$2$	5824.a	1.a	$1$	$2$	$2$	$46.505$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(1-\beta )q^{5}-q^{7}+(1+\beta )q^{9}+\cdots\)
5824.2.a.bw	$5824$	$2$	5824.a	1.a	$1$	$3$	$3$	$46.505$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(2-\beta _{1})q^{5}-q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
5824.2.a.by	$5824$	$2$	5824.a	1.a	$1$	$3$	$3$	$46.505$	3.3.316.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{1})q^{5}+\cdots\)
5824.2.a.cj	$5824$	$2$	5824.a	1.a	$1$	$5$	$5$	$46.505$	5.5.6329476.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-5\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{3})q^{5}-q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)