Newform search results

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

Results (8 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	61
6039.2.a.d	$6039$	$2$	6039.a	1.a	$1$	$11$	$11$	$48.222$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(13\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{5}+\beta _{6})q^{4}+(1-\beta _{10})q^{5}+\cdots\)
6039.2.a.f	$6039$	$2$	6039.a	1.a	$1$	$12$	$12$	$48.222$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(0\)	\(7\)	\(-15\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
6039.2.a.i	$6039$	$2$	6039.a	1.a	$1$	$13$	$13$	$48.222$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-3\)	\(11\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{8}q^{5}+(1+\beta _{11}+\cdots)q^{7}+\cdots\)
6039.2.a.j	$6039$	$2$	6039.a	1.a	$1$	$14$	$14$	$48.222$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-1\)	\(9\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+(1+\cdots)q^{7}+\cdots\)
6039.2.a.k	$6039$	$2$	6039.a	1.a	$1$	$19$	$19$	$48.222$	\(\mathbb{Q}[x]/(x^{19} - \cdots)\)	None	✓	$1$	$0$	\(-5\)	\(0\)	\(0\)	\(9\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}-\beta _{16}q^{7}+\cdots\)
6039.2.a.l	$6039$	$2$	6039.a	1.a	$1$	$21$	$21$	$48.222$		None	✓	$1$	$0$	\(0\)	\(0\)	\(-7\)	\(5\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
6039.2.a.o	$6039$	$2$	6039.a	1.a	$1$	$25$	$25$	$48.222$		None	✓	$1$	$0$	\(5\)	\(0\)	\(4\)	\(4\)		$+$	$-$	$+$	$-$		$\mathrm{SU}(2)$
6039.2.a.p	$6039$	$2$	6039.a	1.a	$1$	$25$	$25$	$48.222$		None	✓	$1$	$0$	\(5\)	\(0\)	\(12\)	\(-4\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$