Newform search results

Results (11 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	7	43
6020.2.a.a	$6020$	$2$	6020.a	1.a	$1$	$1$	$1$	$48.070$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}-2q^{9}-5q^{11}+q^{13}+\cdots\)
6020.2.a.b	$6020$	$2$	6020.a	1.a	$1$	$1$	$1$	$48.070$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}-2q^{9}+3q^{11}+5q^{13}+\cdots\)
6020.2.a.c	$6020$	$2$	6020.a	1.a	$1$	$1$	$1$	$48.070$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(1\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}+q^{5}+q^{7}+q^{9}+5q^{11}-5q^{13}+\cdots\)
6020.2.a.d	$6020$	$2$	6020.a	1.a	$1$	$7$	$7$	$48.070$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(7\)	\(7\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{3}+q^{5}+q^{7}+(-1-\beta _{2}+\beta _{3}+\cdots)q^{9}+\cdots\)
6020.2.a.e	$6020$	$2$	6020.a	1.a	$1$	$7$	$7$	$48.070$	7.7.187391161.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-7\)	\(-7\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}-q^{5}-q^{7}+(-1+\beta _{1}-\beta _{3}+\cdots)q^{9}+\cdots\)
6020.2.a.f	$6020$	$2$	6020.a	1.a	$1$	$8$	$8$	$48.070$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-8\)	\(8\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-q^{5}+q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
6020.2.a.g	$6020$	$2$	6020.a	1.a	$1$	$9$	$9$	$48.070$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(9\)	\(-9\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}-q^{7}+(1+\beta _{2})q^{9}+(-\beta _{3}+\cdots)q^{11}+\cdots\)
6020.2.a.h	$6020$	$2$	6020.a	1.a	$1$	$12$	$12$	$48.070$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-12\)	\(12\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+q^{7}+(2+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6020.2.a.i	$6020$	$2$	6020.a	1.a	$1$	$12$	$12$	$48.070$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(12\)	\(12\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+q^{7}+(2+\beta _{2})q^{9}+\beta _{6}q^{11}+\cdots\)
6020.2.a.j	$6020$	$2$	6020.a	1.a	$1$	$13$	$13$	$48.070$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-13\)	\(-13\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}-q^{7}+(1+\beta _{2})q^{9}+\beta _{3}q^{11}+\cdots\)
6020.2.a.k	$6020$	$2$	6020.a	1.a	$1$	$13$	$13$	$48.070$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(13\)	\(-13\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}-q^{7}+(1+\beta _{2})q^{9}+\beta _{8}q^{11}+\cdots\)