Newform search results

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

Results (26 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	23
8280.2.a.a	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-3\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{7}+4q^{11}-3q^{17}-4q^{19}+\cdots\)
8280.2.a.b	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}-2q^{13}-6q^{17}+q^{23}+\cdots\)
8280.2.a.h	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{11}+4q^{13}+4q^{17}+4q^{19}+\cdots\)
8280.2.a.l	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}+2q^{11}+2q^{13}+8q^{17}+\cdots\)
8280.2.a.m	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}-2q^{13}-2q^{17}-4q^{19}+\cdots\)
8280.2.a.p	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{11}+2q^{13}-2q^{17}+q^{23}+\cdots\)
8280.2.a.r	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{13}+6q^{17}+q^{23}+q^{25}+\cdots\)
8280.2.a.s	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(2\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}+4q^{11}+2q^{13}-2q^{17}+\cdots\)
8280.2.a.t	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}+2q^{11}+2q^{13}+q^{17}+\cdots\)
8280.2.a.u	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(3\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+3q^{7}+6q^{11}-2q^{13}-3q^{17}+\cdots\)
8280.2.a.v	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+4q^{7}-4q^{11}+6q^{13}+2q^{17}+\cdots\)
8280.2.a.w	$8280$	$2$	8280.a	1.a	$1$	$1$	$1$	$66.116$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(4\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+4q^{7}+6q^{11}-4q^{13}-2q^{17}+\cdots\)
8280.2.a.y	$8280$	$2$	8280.a	1.a	$1$	$2$	$2$	$66.116$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-q^{7}+(2-3\beta )q^{11}+(-4-\beta )q^{13}+\cdots\)
8280.2.a.z	$8280$	$2$	8280.a	1.a	$1$	$2$	$2$	$66.116$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}-4q^{11}+(-2+2\beta )q^{13}+\cdots\)
8280.2.a.ba	$8280$	$2$	8280.a	1.a	$1$	$2$	$2$	$66.116$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1+\beta )q^{7}+\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
8280.2.a.bb	$8280$	$2$	8280.a	1.a	$1$	$2$	$2$	$66.116$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2\beta q^{7}+4q^{11}+(2-\beta )q^{13}+\cdots\)
8280.2.a.bc	$8280$	$2$	8280.a	1.a	$1$	$2$	$2$	$66.116$	\(\Q(\sqrt{11}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-6\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}+(1+\beta )q^{11}+(1-\beta )q^{13}+\cdots\)
8280.2.a.bj	$8280$	$2$	8280.a	1.a	$1$	$3$	$3$	$66.116$	3.3.2597.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1-\beta _{1})q^{7}+(-2-\beta _{1})q^{11}+\cdots\)
8280.2.a.bl	$8280$	$2$	8280.a	1.a	$1$	$3$	$3$	$66.116$	3.3.229.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(7\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(2-\beta _{2})q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
8280.2.a.bm	$8280$	$2$	8280.a	1.a	$1$	$3$	$3$	$66.116$	3.3.316.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-6\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-2+\beta _{2})q^{7}+(-1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
8280.2.a.bo	$8280$	$2$	8280.a	1.a	$1$	$3$	$3$	$66.116$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(3\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta _{1})q^{7}+(-1+\beta _{1}-\beta _{2})q^{11}+\cdots\)
8280.2.a.bp	$8280$	$2$	8280.a	1.a	$1$	$3$	$3$	$66.116$	3.3.568.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(4\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta _{1})q^{7}+(2+\beta _{1}+\beta _{2})q^{11}+\cdots\)
8280.2.a.br	$8280$	$2$	8280.a	1.a	$1$	$5$	$5$	$66.116$	5.5.20087896.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(-4\)		$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1+\beta _{1})q^{7}+(1-\beta _{2})q^{11}+\cdots\)
8280.2.a.bs	$8280$	$2$	8280.a	1.a	$1$	$5$	$5$	$66.116$	5.5.13955077.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-2\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(-\beta _{3}-\beta _{4})q^{7}+(-\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots\)
8280.2.a.bu	$8280$	$2$	8280.a	1.a	$1$	$6$	$6$	$66.116$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(-2\)		$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{5}-\beta _{2}q^{7}+(-1-\beta _{3})q^{11}+\beta _{4}q^{13}+\cdots\)
8280.2.a.bv	$8280$	$2$	8280.a	1.a	$1$	$7$	$7$	$66.116$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-7\)	\(-6\)		$-$	$+$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1+\beta _{4})q^{7}+\beta _{3}q^{11}+(-2+\cdots)q^{13}+\cdots\)