Newform search results

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

Results (16 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
576.8.a.b	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-530\)	\(-120\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-530q^{5}-120q^{7}+7196q^{11}+9626q^{13}+\cdots\)
576.8.a.e	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-378\)	\(832\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-378q^{5}+832q^{7}+2484q^{11}-14870q^{13}+\cdots\)
576.8.a.f	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-210\)	\(-1016\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-210q^{5}-1016q^{7}-1092q^{11}+\cdots\)
576.8.a.i	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-114\)	\(1576\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-114q^{5}+1576q^{7}-7332q^{11}+\cdots\)
576.8.a.k	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-82\)	\(456\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-82q^{5}+456q^{7}+2524q^{11}+10778q^{13}+\cdots\)
576.8.a.n	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(-58\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-58q^{5}+8898q^{13}+40094q^{17}+\cdots\)
576.8.a.o	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-26\)	\(-1056\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-26q^{5}-1056q^{7}-6412q^{11}-5206q^{13}+\cdots\)
576.8.a.s	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(110\)	\(-504\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+110q^{5}-504q^{7}-3812q^{11}-9574q^{13}+\cdots\)
576.8.a.u	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(270\)	\(-1112\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+270q^{5}-1112q^{7}+5724q^{11}+\cdots\)
576.8.a.x	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(390\)	\(64\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+390q^{5}+2^{6}q^{7}+948q^{11}+5098q^{13}+\cdots\)
576.8.a.z	$576$	$8$	576.a	1.a	$1$	$1$	$1$	$179.934$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(430\)	\(1224\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+430q^{5}+1224q^{7}+3164q^{11}+\cdots\)
576.8.a.bg	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-28\)	\(-936\)		$-$	$-$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-14+3\beta )q^{5}+(-468-7\beta )q^{7}+\cdots\)
576.8.a.bh	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-28\)	\(936\)		$-$	$-$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-14+3\beta )q^{5}+(468+7\beta )q^{7}+(-1692+\cdots)q^{11}+\cdots\)
576.8.a.bk	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{15}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(140\)	\(0\)		$-$	$-$	$+$	$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+70q^{5}+2\beta q^{7}-13\beta q^{11}-13758q^{13}+\cdots\)
576.8.a.bn	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(196\)	\(-504\)		$-$	$-$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(98+\beta )q^{5}+(-252-3\beta )q^{7}+(-828+\cdots)q^{11}+\cdots\)
576.8.a.bo	$576$	$8$	576.a	1.a	$1$	$2$	$2$	$179.934$	\(\Q(\sqrt{46}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(196\)	\(504\)		$-$	$-$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(98+\beta )q^{5}+(252+3\beta )q^{7}+(828+\cdots)q^{11}+\cdots\)