Newform search results

Results (18 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	13	31
4030.2.a.a	$4030$	$2$	4030.a	1.a	$1$	$1$	$1$	$32.180$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\cdots\)
4030.2.a.b	$4030$	$2$	4030.a	1.a	$1$	$2$	$2$	$32.180$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(-2\)	\(-1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2\beta q^{3}+q^{4}-q^{5}-2\beta q^{6}+\cdots\)
4030.2.a.c	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.3081125.1	None	✓	$1$	$1$	\(-6\)	\(-1\)	\(-6\)	\(4\)		$+$	$+$	$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{3}q^{3}+q^{4}-q^{5}+\beta _{3}q^{6}+\cdots\)
4030.2.a.d	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.3728437.1	None	✓	$1$	$1$	\(-6\)	\(-1\)	\(6\)	\(-2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{3}q^{3}+q^{4}+q^{5}-\beta _{3}q^{6}+\cdots\)
4030.2.a.e	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.6550837.1	None	✓	$1$	$1$	\(6\)	\(-7\)	\(6\)	\(-8\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4030.2.a.f	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.4418197.1	None	✓	$1$	$1$	\(6\)	\(-3\)	\(-6\)	\(-2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1}+\beta _{3})q^{3}+q^{4}-q^{5}+\cdots\)
4030.2.a.g	$4030$	$2$	4030.a	1.a	$1$	$6$	$6$	$32.180$	6.6.10369693.1	None	✓	$1$	$1$	\(6\)	\(-3\)	\(6\)	\(-10\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4030.2.a.h	$4030$	$2$	4030.a	1.a	$1$	$7$	$7$	$32.180$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(-1\)	\(7\)	\(-4\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.i	$4030$	$2$	4030.a	1.a	$1$	$7$	$7$	$32.180$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(3\)	\(-7\)	\(2\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4030.2.a.j	$4030$	$2$	4030.a	1.a	$1$	$7$	$7$	$32.180$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(7\)	\(-3\)	\(-7\)	\(4\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{3}q^{3}+q^{4}-q^{5}-\beta _{3}q^{6}+\cdots\)
4030.2.a.k	$4030$	$2$	4030.a	1.a	$1$	$8$	$8$	$32.180$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(-1\)	\(-8\)	\(-8\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.l	$4030$	$2$	4030.a	1.a	$1$	$8$	$8$	$32.180$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(1\)	\(8\)	\(11\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{6}q^{3}+q^{4}+q^{5}+\beta _{6}q^{6}+\cdots\)
4030.2.a.m	$4030$	$2$	4030.a	1.a	$1$	$8$	$8$	$32.180$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(5\)	\(8\)	\(5\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4030.2.a.n	$4030$	$2$	4030.a	1.a	$1$	$8$	$8$	$32.180$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(-1\)	\(-8\)	\(1\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
4030.2.a.o	$4030$	$2$	4030.a	1.a	$1$	$8$	$8$	$32.180$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(3\)	\(8\)	\(7\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.p	$4030$	$2$	4030.a	1.a	$1$	$9$	$9$	$32.180$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(-3\)	\(-9\)	\(-3\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.q	$4030$	$2$	4030.a	1.a	$1$	$9$	$9$	$32.180$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(3\)	\(-9\)	\(3\)		$-$	$+$	$-$	$-$	$-$	$3^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
4030.2.a.r	$4030$	$2$	4030.a	1.a	$1$	$9$	$9$	$32.180$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(3\)	\(9\)	\(9\)		$-$	$-$	$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{2}q^{3}+q^{4}+q^{5}-\beta _{2}q^{6}+\cdots\)