Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5
3240.2.a.f	$3240$	$2$	3240.a	1.a	$1$	$1$	$1$	$25.872$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+5q^{11}-3q^{17}+5q^{19}-6q^{23}+\cdots\)
3240.2.a.h	$3240$	$2$	3240.a	1.a	$1$	$2$	$2$	$25.872$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}+(-3+\beta )q^{11}+(2+\beta )q^{13}+\cdots\)
3240.2.a.i	$3240$	$2$	3240.a	1.a	$1$	$2$	$2$	$25.872$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}+(1-\beta )q^{11}-\beta q^{13}+\cdots\)
3240.2.a.k	$3240$	$2$	3240.a	1.a	$1$	$2$	$2$	$25.872$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(2+\beta )q^{7}+(2+2\beta )q^{11}+(-2+\cdots)q^{13}+\cdots\)
3240.2.a.m	$3240$	$2$	3240.a	1.a	$1$	$2$	$2$	$25.872$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}+(-1+\beta )q^{11}-\beta q^{13}+\cdots\)
3240.2.a.n	$3240$	$2$	3240.a	1.a	$1$	$2$	$2$	$25.872$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}+(3-\beta )q^{11}+(2+\beta )q^{13}+\cdots\)
3240.2.a.o	$3240$	$2$	3240.a	1.a	$1$	$2$	$2$	$25.872$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+2q^{17}+(-2-2\beta )q^{19}+\cdots\)
3240.2.a.q	$3240$	$2$	3240.a	1.a	$1$	$3$	$3$	$25.872$	3.3.564.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1-\beta _{1}+\beta _{2})q^{7}+(1+\beta _{2})q^{11}+\cdots\)
3240.2.a.t	$3240$	$2$	3240.a	1.a	$1$	$4$	$4$	$25.872$	4.4.62352.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(\beta _{1}-\beta _{2})q^{7}+(-2+\beta _{1}-\beta _{3})q^{11}+\cdots\)
3240.2.a.u	$3240$	$2$	3240.a	1.a	$1$	$4$	$4$	$25.872$	4.4.29268.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-1\)		$+$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+q^{5}-\beta _{2}q^{7}+(-\beta _{2}-\beta _{3})q^{11}+(1+\cdots)q^{13}+\cdots\)
3240.2.a.v	$3240$	$2$	3240.a	1.a	$1$	$4$	$4$	$25.872$	4.4.62352.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(\beta _{1}-\beta _{2})q^{7}+(2-\beta _{1}+\beta _{3})q^{11}+\cdots\)