Newform search results

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

Results (41 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
8450.2.a.a	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(0\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-5q^{7}-q^{8}+\cdots\)
8450.2.a.b	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
8450.2.a.e	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
8450.2.a.h	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(0\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+3q^{7}-q^{8}+\cdots\)
8450.2.a.l	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
8450.2.a.m	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-3\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}-3q^{6}+q^{8}+6q^{9}+\cdots\)
8450.2.a.n	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}-2q^{6}-4q^{7}+q^{8}+\cdots\)
8450.2.a.q	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-3q^{7}+q^{8}-3q^{9}+3q^{11}+\cdots\)
8450.2.a.r	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+q^{8}-3q^{9}+q^{16}-2q^{17}+\cdots\)
8450.2.a.s	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{7}+q^{8}-3q^{9}-4q^{11}+\cdots\)
8450.2.a.t	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
8450.2.a.w	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots\)
8450.2.a.x	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}+5q^{7}+q^{8}+\cdots\)
8450.2.a.y	$8450$	$2$	8450.a	1.a	$1$	$1$	$1$	$67.474$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(0\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{7}+q^{8}+\cdots\)
8450.2.a.ba	$8450$	$2$	8450.a	1.a	$1$	$2$	$2$	$67.474$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(0\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+(-3+\beta )q^{7}+\cdots\)
8450.2.a.bb	$8450$	$2$	8450.a	1.a	$1$	$2$	$2$	$67.474$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(0\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+(1-\beta )q^{7}+\cdots\)
8450.2.a.bf	$8450$	$2$	8450.a	1.a	$1$	$2$	$2$	$67.474$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(6\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots\)
8450.2.a.bg	$8450$	$2$	8450.a	1.a	$1$	$2$	$2$	$67.474$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
8450.2.a.bj	$8450$	$2$	8450.a	1.a	$1$	$2$	$2$	$67.474$	\(\Q(\sqrt{10}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}-q^{7}+q^{8}+\cdots\)
8450.2.a.bk	$8450$	$2$	8450.a	1.a	$1$	$2$	$2$	$67.474$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(2\)	\(1\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(-1+\beta )q^{7}+\cdots\)
8450.2.a.bl	$8450$	$2$	8450.a	1.a	$1$	$2$	$2$	$67.474$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(1\)	\(0\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(3-\beta )q^{7}+\cdots\)
8450.2.a.br	$8450$	$2$	8450.a	1.a	$1$	$3$	$3$	$67.474$	3.3.2808.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
8450.2.a.bs	$8450$	$2$	8450.a	1.a	$1$	$3$	$3$	$67.474$	3.3.940.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bt	$8450$	$2$	8450.a	1.a	$1$	$3$	$3$	$67.474$	3.3.148.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bu	$8450$	$2$	8450.a	1.a	$1$	$3$	$3$	$67.474$	3.3.148.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bv	$8450$	$2$	8450.a	1.a	$1$	$3$	$3$	$67.474$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(-3\)	\(1\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-2\beta _{1}q^{7}+\cdots\)
8450.2.a.ce	$8450$	$2$	8450.a	1.a	$1$	$3$	$3$	$67.474$	3.3.2808.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.cg	$8450$	$2$	8450.a	1.a	$1$	$3$	$3$	$67.474$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(3\)	\(1\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+2\beta _{1}q^{7}+\cdots\)
8450.2.a.ch	$8450$	$2$	8450.a	1.a	$1$	$4$	$4$	$67.474$	4.4.4752.1	None	✓	$1$	$0$	\(-4\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(\beta _{1}-\beta _{3})q^{7}+\cdots\)
8450.2.a.ci	$8450$	$2$	8450.a	1.a	$1$	$4$	$4$	$67.474$	4.4.4752.1	None	✓	$1$	$0$	\(-4\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1-\beta _{2}+\beta _{3})q^{3}+q^{4}+(1+\cdots)q^{6}+\cdots\)
8450.2.a.cn	$8450$	$2$	8450.a	1.a	$1$	$4$	$4$	$67.474$	\(\Q(\sqrt{3}, \sqrt{11})\)	None	✓	$2$	$0$	\(4\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-\beta _{2}q^{7}+\cdots\)
8450.2.a.co	$8450$	$2$	8450.a	1.a	$1$	$4$	$4$	$67.474$	4.4.4752.1	None	✓	$1$	$0$	\(4\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.cp	$8450$	$2$	8450.a	1.a	$1$	$6$	$6$	$67.474$	6.6.20439713.1	None	✓	$1$	$0$	\(-6\)	\(2\)	\(0\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
8450.2.a.cq	$8450$	$2$	8450.a	1.a	$1$	$6$	$6$	$67.474$	6.6.20439713.1	None	✓	$1$	$0$	\(6\)	\(2\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-\beta _{2}+\cdots)q^{7}+\cdots\)
8450.2.a.cs	$8450$	$2$	8450.a	1.a	$1$	$8$	$8$	$67.474$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(8\)	\(0\)	\(0\)	\(10\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1+\beta _{7})q^{7}+\cdots\)
8450.2.a.cu	$8450$	$2$	8450.a	1.a	$1$	$9$	$9$	$67.474$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-\beta _{8}q^{7}+\cdots\)
8450.2.a.cv	$8450$	$2$	8450.a	1.a	$1$	$9$	$9$	$67.474$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(0\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-\beta _{8}q^{7}+\cdots\)
8450.2.a.cw	$8450$	$2$	8450.a	1.a	$1$	$9$	$9$	$67.474$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-9\)	\(7\)	\(0\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{4})q^{3}+q^{4}+(-1-\beta _{4}+\cdots)q^{6}+\cdots\)
8450.2.a.cy	$8450$	$2$	8450.a	1.a	$1$	$9$	$9$	$67.474$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+\beta _{8}q^{7}+\cdots\)
8450.2.a.cz	$8450$	$2$	8450.a	1.a	$1$	$9$	$9$	$67.474$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+\beta _{8}q^{7}+\cdots\)
8450.2.a.da	$8450$	$2$	8450.a	1.a	$1$	$9$	$9$	$67.474$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(9\)	\(7\)	\(0\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta _{4})q^{3}+q^{4}+(1+\beta _{4})q^{6}+\cdots\)