Newform search results

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

Results (10 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.d	$6027$	$2$	6027.a	1.a	$1$	$1$	$1$	$48.126$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}+3q^{8}+\cdots\)
6027.2.a.e	$6027$	$2$	6027.a	1.a	$1$	$1$	$1$	$48.126$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+2q^{5}+q^{9}+5q^{11}+\cdots\)
6027.2.a.k	$6027$	$2$	6027.a	1.a	$1$	$2$	$2$	$48.126$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(-4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-2q^{5}-\beta q^{6}+\cdots\)
6027.2.a.n	$6027$	$2$	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.q	$6027$	$2$	6027.a	1.a	$1$	$3$	$3$	$48.126$	3.3.1620.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}+\beta _{1}q^{5}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
6027.2.a.t	$6027$	$2$	6027.a	1.a	$1$	$3$	$3$	$48.126$	3.3.785.1	None	✓	$1$	$0$	\(1\)	\(3\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
6027.2.a.u	$6027$	$2$	6027.a	1.a	$1$	$4$	$4$	$48.126$	4.4.8468.1	None	✓	$1$	$0$	\(1\)	\(4\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
6027.2.a.x	$6027$	$2$	6027.a	1.a	$1$	$5$	$5$	$48.126$	5.5.1197392.1	None	✓	$1$	$0$	\(3\)	\(5\)	\(9\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
6027.2.a.bc	$6027$	$2$	6027.a	1.a	$1$	$8$	$8$	$48.126$	8.8.7457527933.1	None	✓	$1$	$0$	\(1\)	\(8\)	\(7\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1}-\beta _{2})q^{2}+q^{3}+(2+\beta _{6})q^{4}+\cdots\)
6027.2.a.be	$6027$	$2$	6027.a	1.a	$1$	$10$	$10$	$48.126$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(10\)	\(6\)	\(0\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)