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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	19
6080.2.a.a	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-q^{5}-q^{7}+6q^{9}-4q^{11}+\cdots\)
6080.2.a.e	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
6080.2.a.k	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{9}+4q^{11}+6q^{13}-6q^{17}+\cdots\)
6080.2.a.u	$6080$	$2$	6080.a	1.a	$1$	$1$	$1$	$48.549$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-1\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
6080.2.a.bd	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}-\beta q^{7}-3q^{9}-4q^{11}+(-2+\cdots)q^{13}+\cdots\)
6080.2.a.bh	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}-\beta q^{7}+(1+\beta )q^{9}-4q^{11}+\cdots\)
6080.2.a.bl	$6080$	$2$	6080.a	1.a	$1$	$2$	$2$	$48.549$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(4\)	\(-2\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{3}-q^{5}+(-2+2\beta )q^{7}+(3+\cdots)q^{9}+\cdots\)
6080.2.a.bo	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-3\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}-q^{5}+(\beta _{1}-\beta _{2})q^{7}+\cdots\)
6080.2.a.bu	$6080$	$2$	6080.a	1.a	$1$	$3$	$3$	$48.549$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
6080.2.a.ck	$6080$	$2$	6080.a	1.a	$1$	$5$	$5$	$48.549$	5.5.2363492.1	None	✓	$1$	$0$	\(0\)	\(2\)	\(-5\)	\(2\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots\)