Newform search results

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

Results (16 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	7
6272.2.a.a	$6272$	$2$	6272.a	1.a	$1$	$1$	$1$	$50.082$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}+q^{9}-2q^{11}-2q^{13}+\cdots\)
6272.2.a.b	$6272$	$2$	6272.a	1.a	$1$	$1$	$1$	$50.082$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots\)
6272.2.a.d	$6272$	$2$	6272.a	1.a	$1$	$1$	$1$	$50.082$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{9}-2q^{11}+4q^{13}+2q^{17}+4q^{19}+\cdots\)
6272.2.a.g	$6272$	$2$	6272.a	1.a	$1$	$1$	$1$	$50.082$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{5}+q^{9}+2q^{11}-2q^{13}+\cdots\)
6272.2.a.j	$6272$	$2$	6272.a	1.a	$1$	$2$	$2$	$50.082$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}+(1+\beta )q^{5}+(1-2\beta )q^{9}+\cdots\)
6272.2.a.n	$6272$	$2$	6272.a	1.a	$1$	$2$	$2$	$50.082$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-\beta q^{5}-q^{9}+3\beta q^{13}-2q^{15}+\cdots\)
6272.2.a.o	$6272$	$2$	6272.a	1.a	$1$	$2$	$2$	$50.082$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{9}-3\beta q^{13}+2q^{15}+\cdots\)
6272.2.a.p	$6272$	$2$	6272.a	1.a	$1$	$2$	$2$	$50.082$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}-q^{9}-3\beta q^{13}+2q^{15}+\cdots\)
6272.2.a.s	$6272$	$2$	6272.a	1.a	$1$	$2$	$2$	$50.082$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-1+\beta )q^{5}+(1+2\beta )q^{9}+\cdots\)
6272.2.a.t	$6272$	$2$	6272.a	1.a	$1$	$2$	$2$	$50.082$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(1-\beta )q^{5}+(1+2\beta )q^{9}+\cdots\)
6272.2.a.u	$6272$	$2$	6272.a	1.a	$1$	$3$	$3$	$50.082$	3.3.316.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{3}+(-1+\beta _{1})q^{5}+(3+\cdots)q^{9}+\cdots\)
6272.2.a.ba	$6272$	$2$	6272.a	1.a	$1$	$4$	$4$	$50.082$	4.4.11344.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-1-\beta _{3})q^{5}+(\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
6272.2.a.bb	$6272$	$2$	6272.a	1.a	$1$	$4$	$4$	$50.082$	4.4.54864.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{3})q^{5}+(2\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6272.2.a.bf	$6272$	$2$	6272.a	1.a	$1$	$4$	$4$	$50.082$	4.4.54864.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(\beta _{1}+\beta _{3})q^{5}+(2\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6272.2.a.bk	$6272$	$2$	6272.a	1.a	$1$	$4$	$4$	$50.082$	4.4.9248.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-\beta _{1}q^{5}+(2-\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots\)
6272.2.a.bo	$6272$	$2$	6272.a	1.a	$1$	$4$	$4$	$50.082$	4.4.54864.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{3})q^{5}+(2\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)