Newform search results

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

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	7	23
5635.2.a.b	$5635$	$2$	5635.a	1.a	$1$	$1$	$1$	$44.996$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+q^{5}+3q^{8}-3q^{9}-q^{10}+\cdots\)
5635.2.a.c	$5635$	$2$	5635.a	1.a	$1$	$1$	$1$	$44.996$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+q^{5}+3q^{8}-3q^{9}-q^{10}+\cdots\)
5635.2.a.f	$5635$	$2$	5635.a	1.a	$1$	$1$	$1$	$44.996$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}-q^{4}+q^{5}+2q^{6}-3q^{8}+\cdots\)
5635.2.a.g	$5635$	$2$	5635.a	1.a	$1$	$1$	$1$	$44.996$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-3\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+2q^{4}+q^{5}-6q^{6}+\cdots\)
5635.2.a.j	$5635$	$2$	5635.a	1.a	$1$	$1$	$1$	$44.996$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{4}+q^{5}-3q^{9}+2q^{10}+\cdots\)
5635.2.a.p	$5635$	$2$	5635.a	1.a	$1$	$2$	$2$	$44.996$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-\beta q^{3}+q^{5}-2q^{6}-2\beta q^{8}+\cdots\)
5635.2.a.q	$5635$	$2$	5635.a	1.a	$1$	$2$	$2$	$44.996$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
5635.2.a.t	$5635$	$2$	5635.a	1.a	$1$	$4$	$4$	$44.996$	4.4.22545.1	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(3+\beta _{3})q^{4}+\cdots\)
5635.2.a.y	$5635$	$2$	5635.a	1.a	$1$	$5$	$5$	$44.996$	5.5.255877.1	None	✓	$1$	$0$	\(-1\)	\(4\)	\(5\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
5635.2.a.bh	$5635$	$2$	5635.a	1.a	$1$	$13$	$13$	$44.996$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(13\)	\(0\)		$-$	$-$	$-$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)
5635.2.a.bj	$5635$	$2$	5635.a	1.a	$1$	$15$	$15$	$44.996$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(0\)	\(15\)	\(0\)		$-$	$-$	$-$	$-$	$3^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots\)