Newform search results

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

Results (12 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	5	23
9200.2.a.b	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-4q^{7}+6q^{9}-2q^{11}+5q^{13}+\cdots\)
9200.2.a.f	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{7}+q^{9}-3q^{11}+q^{13}+\cdots\)
9200.2.a.p	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}-3q^{9}-2q^{11}+2q^{13}+2q^{17}+\cdots\)
9200.2.a.t	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-3q^{9}-2q^{11}+2q^{13}-3q^{17}+\cdots\)
9200.2.a.u	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{7}-3q^{9}+q^{11}-q^{13}+5q^{19}+\cdots\)
9200.2.a.y	$9200$	$2$	9200.a	1.a	$1$	$1$	$1$	$73.462$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{7}-2q^{9}+6q^{11}+q^{13}+\cdots\)
9200.2.a.bs	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(1-\beta )q^{7}+(2+\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
9200.2.a.bt	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+(1+\beta )q^{7}+2q^{9}+(3+\beta )q^{11}+\cdots\)
9200.2.a.bu	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{7}+(-2+\beta )q^{9}+(-2+\cdots)q^{11}+\cdots\)
9200.2.a.bv	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{7}+(1+\beta )q^{9}-2q^{11}+\cdots\)
9200.2.a.bw	$9200$	$2$	9200.a	1.a	$1$	$2$	$2$	$73.462$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(1-\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots\)
9200.2.a.cm	$9200$	$2$	9200.a	1.a	$1$	$4$	$4$	$73.462$	4.4.53121.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}+\beta _{3})q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)