Newform search results

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

Results (6 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
3380.2.a.a	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-1\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}-3q^{7}+6q^{9}-3q^{11}+\cdots\)
3380.2.a.d	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-1\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-q^{5}+5q^{7}-2q^{9}-5q^{11}+\cdots\)
3380.2.a.f	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}-q^{15}+\cdots\)
3380.2.a.g	$3380$	$2$	3380.a	1.a	$1$	$1$	$1$	$26.989$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}+q^{7}-2q^{9}-3q^{11}-q^{15}+\cdots\)
3380.2.a.o	$3380$	$2$	3380.a	1.a	$1$	$3$	$3$	$26.989$	3.3.564.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(2\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}-q^{5}+(1+\beta _{1})q^{7}+(4+\cdots)q^{9}+\cdots\)
3380.2.a.r	$3380$	$2$	3380.a	1.a	$1$	$9$	$9$	$26.989$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-9\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(-1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)