Newform search results

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

Results (9 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.d	$5824$	$2$	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.h	$5824$	$2$	5824.a	1.a	$1$	$1$	$1$	$46.505$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}+q^{7}-2q^{9}-5q^{11}+\cdots\)
5824.2.a.o	$5824$	$2$	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.w	$5824$	$2$	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.z	$5824$	$2$	5824.a	1.a	$1$	$1$	$1$	$46.505$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{7}-2q^{9}-q^{11}-q^{13}+4q^{17}+\cdots\)
5824.2.a.bo	$5824$	$2$	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.bs	$5824$	$2$	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.bz	$5824$	$2$	5824.a	1.a	$1$	$3$	$3$	$46.505$	3.3.564.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-1\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
5824.2.a.ca	$5824$	$2$	5824.a	1.a	$1$	$4$	$4$	$46.505$	4.4.11348.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(1\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+\beta _{1}q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)