Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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	7	41
6027.2.a.a	$6027$	$2$	6027.a	1.a	$1$	$1$	$1$	$48.126$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+2q^{4}+4q^{5}+2q^{6}+\cdots\)
6027.2.a.b	$6027$	$2$	6027.a	1.a	$1$	$1$	$1$	$48.126$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-3\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-3q^{5}+q^{6}+3q^{8}+\cdots\)
6027.2.a.f	$6027$	$2$	6027.a	1.a	$1$	$1$	$1$	$48.126$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots\)
6027.2.a.j	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(3\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(2-\beta )q^{5}+\cdots\)
6027.2.a.l	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-2\beta q^{5}+q^{9}+(4+\beta )q^{11}+\cdots\)
6027.2.a.y	$6027$	$2$	6027.a	1.a	$1$	$7$	$7$	$48.126$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-7\)	\(-1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
6027.2.a.bd	$6027$	$2$	6027.a	1.a	$1$	$10$	$10$	$48.126$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-10\)	\(-6\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
6027.2.a.bh	$6027$	$2$	6027.a	1.a	$1$	$13$	$13$	$48.126$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(-4\)	\(-13\)	\(8\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{8}+\cdots)q^{5}+\cdots\)