Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	17
5780.2.a.a	$5780$	$2$	5780.a	1.a	$1$	$1$	$1$	$46.154$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+q^{5}-2q^{7}+q^{9}-5q^{11}+\cdots\)
5780.2.a.e	$5780$	$2$	5780.a	1.a	$1$	$1$	$1$	$46.154$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}+2q^{7}+q^{9}+5q^{11}+\cdots\)
5780.2.a.g	$5780$	$2$	5780.a	1.a	$1$	$2$	$2$	$46.154$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}-q^{5}+(-1+\beta )q^{7}+\cdots\)
5780.2.a.h	$5780$	$2$	5780.a	1.a	$1$	$2$	$2$	$46.154$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+q^{5}+(1+\beta )q^{7}+2\beta q^{9}+\cdots\)
5780.2.a.j	$5780$	$2$	5780.a	1.a	$1$	$3$	$3$	$46.154$	3.3.404.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-q^{5}+\beta _{2}q^{7}+(2-\beta _{1}+\beta _{2})q^{9}+\cdots\)
5780.2.a.k	$5780$	$2$	5780.a	1.a	$1$	$3$	$3$	$46.154$	3.3.1524.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}-q^{5}+(1+\beta _{1})q^{7}+(3+\cdots)q^{9}+\cdots\)
5780.2.a.m	$5780$	$2$	5780.a	1.a	$1$	$6$	$6$	$46.154$	6.6.9521152.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{5})q^{7}+\cdots\)
5780.2.a.p	$5780$	$2$	5780.a	1.a	$1$	$12$	$12$	$46.154$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(-12\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+\beta _{3}q^{7}+(2+\beta _{2})q^{9}+\cdots\)
5780.2.a.r	$5780$	$2$	5780.a	1.a	$1$	$12$	$12$	$46.154$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(8\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+q^{5}+(1-\beta _{11})q^{7}+(1+\beta _{8}+\cdots)q^{9}+\cdots\)
5780.2.a.s	$5780$	$2$	5780.a	1.a	$1$	$12$	$12$	$46.154$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(12\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}-\beta _{3}q^{7}+(2+\beta _{2})q^{9}+\cdots\)