Newform search results

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

Results (15 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	3	17
9792.2.a.c	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-4q^{7}+q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.j	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-2\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-2q^{7}-6q^{11}-2q^{13}-q^{17}+\cdots\)
9792.2.a.k	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-4q^{11}+2q^{13}-q^{17}-4q^{19}+\cdots\)
9792.2.a.n	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}+2q^{13}-q^{17}+4q^{19}+\cdots\)
9792.2.a.s	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+5q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.t	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-5q^{11}+5q^{13}-q^{17}+\cdots\)
9792.2.a.bo	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+5q^{11}+5q^{13}-q^{17}-q^{19}+\cdots\)
9792.2.a.bs	$9792$	$2$	9792.a	1.a	$1$	$1$	$1$	$78.190$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-4q^{7}+4q^{11}-6q^{13}-q^{17}+\cdots\)
9792.2.a.co	$9792$	$2$	9792.a	1.a	$1$	$2$	$2$	$78.190$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(8\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+4q^{7}+(-2+\beta )q^{11}-\beta q^{13}+\cdots\)
9792.2.a.cy	$9792$	$2$	9792.a	1.a	$1$	$2$	$2$	$78.190$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+(-1+\beta )q^{11}+(-3+\beta )q^{13}+\cdots\)
9792.2.a.db	$9792$	$2$	9792.a	1.a	$1$	$2$	$2$	$78.190$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+2q^{5}+(1-\beta )q^{7}+(1-\beta )q^{11}-2\beta q^{13}+\cdots\)
9792.2.a.dc	$9792$	$2$	9792.a	1.a	$1$	$3$	$3$	$78.190$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{5}+(-1+\beta _{2})q^{7}+(-3+\cdots)q^{11}+\cdots\)
9792.2.a.dd	$9792$	$2$	9792.a	1.a	$1$	$3$	$3$	$78.190$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2})q^{5}+(1-\beta _{2})q^{7}+(3+\beta _{1}+\cdots)q^{11}+\cdots\)
9792.2.a.dk	$9792$	$2$	9792.a	1.a	$1$	$3$	$3$	$78.190$	3.3.316.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{5}+(-1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
9792.2.a.dl	$9792$	$2$	9792.a	1.a	$1$	$3$	$3$	$78.190$	3.3.316.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{5}+(1+\beta _{1}+\beta _{2})q^{7}+\beta _{2}q^{11}+\cdots\)