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	7	11
8624.2.a.c	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+3q^{5}+6q^{9}+q^{11}-9q^{15}+\cdots\)
8624.2.a.e	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}+q^{9}+q^{11}-4q^{13}+\cdots\)
8624.2.a.f	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{9}+q^{11}-2q^{13}+2q^{17}+\cdots\)
8624.2.a.i	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{5}-2q^{9}+q^{11}-3q^{13}+\cdots\)
8624.2.a.p	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}+q^{11}+6q^{13}-2q^{19}-4q^{23}+\cdots\)
8624.2.a.q	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-3q^{9}+q^{11}-2q^{13}+2q^{17}+\cdots\)
8624.2.a.ba	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{5}+q^{9}+q^{11}-4q^{15}+\cdots\)
8624.2.a.bb	$8624$	$2$	8624.a	1.a	$1$	$1$	$1$	$68.863$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{9}+q^{11}+2q^{13}-2q^{17}+\cdots\)
8624.2.a.bp	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-3q^{9}+q^{11}+\beta q^{17}-\beta q^{19}+\cdots\)
8624.2.a.cb	$8624$	$2$	8624.a	1.a	$1$	$2$	$2$	$68.863$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(-2+\beta )q^{5}+(1+\beta )q^{9}+q^{11}+\cdots\)
8624.2.a.cr	$8624$	$2$	8624.a	1.a	$1$	$4$	$4$	$68.863$	4.4.89289.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(4\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(1-\beta _{1})q^{5}+(3+\beta _{1}+\cdots)q^{9}+\cdots\)
8624.2.a.db	$8624$	$2$	8624.a	1.a	$1$	$5$	$5$	$68.863$	5.5.559701.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\beta _{2}q^{9}+\cdots\)