Newform search results

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

Results (5 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	167
1002.2.a.a	$1002$	$2$	1002.a	1.a	$1$	$1$	$1$	$8.001$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
1002.2.a.b	$1002$	$2$	1002.a	1.a	$1$	$1$	$1$	$8.001$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(3\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+3q^{7}+\cdots\)
1002.2.a.i	$1002$	$2$	1002.a	1.a	$1$	$4$	$4$	$8.001$	4.4.2777.1	None	✓	$1$	$0$	\(4\)	\(-4\)	\(5\)	\(1\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}-q^{6}+\cdots\)
1002.2.a.j	$1002$	$2$	1002.a	1.a	$1$	$5$	$5$	$8.001$	5.5.11256624.1	None	✓	$1$	$0$	\(-5\)	\(5\)	\(-1\)	\(9\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta _{2}q^{5}-q^{6}+(2+\cdots)q^{7}+\cdots\)
1002.2.a.k	$1002$	$2$	1002.a	1.a	$1$	$7$	$7$	$8.001$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(7\)	\(5\)	\(7\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)