Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	11	19
3344.2.a.a	$3344$	$2$	3344.a	1.a	$1$	$1$	$1$	$26.702$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(-3\)	\(-2\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-2q^{5}-q^{7}+6q^{9}-q^{11}+\cdots\)
3344.2.a.b	$3344$	$2$	3344.a	1.a	$1$	$1$	$1$	$26.702$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+2q^{5}+q^{9}-q^{11}+4q^{13}+\cdots\)
3344.2.a.d	$3344$	$2$	3344.a	1.a	$1$	$1$	$1$	$26.702$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-3\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+4q^{7}-2q^{9}-q^{11}+\cdots\)
3344.2.a.f	$3344$	$2$	3344.a	1.a	$1$	$1$	$1$	$26.702$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}-3q^{9}+q^{11}+2q^{13}+\cdots\)
3344.2.a.g	$3344$	$2$	3344.a	1.a	$1$	$1$	$1$	$26.702$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{7}-3q^{9}-q^{11}-2q^{13}+\cdots\)
3344.2.a.l	$3344$	$2$	3344.a	1.a	$1$	$2$	$2$	$26.702$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+(2-\beta )q^{5}+(3-\beta )q^{7}+(2+\beta )q^{9}+\cdots\)
3344.2.a.n	$3344$	$2$	3344.a	1.a	$1$	$2$	$2$	$26.702$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-2\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}-q^{5}+(2+\beta )q^{7}+2\beta q^{9}+\cdots\)
3344.2.a.o	$3344$	$2$	3344.a	1.a	$1$	$2$	$2$	$26.702$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-1\)	\(1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-1+\beta )q^{5}+\beta q^{7}+(1+\cdots)q^{9}+\cdots\)
3344.2.a.p	$3344$	$2$	3344.a	1.a	$1$	$3$	$3$	$26.702$	3.3.469.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(5\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(2-\beta _{1})q^{5}+\beta _{2}q^{7}+(1+\beta _{2})q^{9}+\cdots\)
3344.2.a.q	$3344$	$2$	3344.a	1.a	$1$	$3$	$3$	$26.702$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(-1-\beta _{1}-\beta _{2})q^{5}+(2+\beta _{1}+\cdots)q^{7}+\cdots\)
3344.2.a.u	$3344$	$2$	3344.a	1.a	$1$	$5$	$5$	$26.702$	5.5.3979184.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(7\)	\(-8\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{4}q^{3}+(1+\beta _{1})q^{5}+(-2+\beta _{1})q^{7}+\cdots\)
3344.2.a.w	$3344$	$2$	3344.a	1.a	$1$	$6$	$6$	$26.702$	6.6.744786576.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(5\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1+\beta _{5})q^{5}+(1-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots\)
3344.2.a.x	$3344$	$2$	3344.a	1.a	$1$	$6$	$6$	$26.702$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{5}q^{5}-\beta _{4}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
3344.2.a.y	$3344$	$2$	3344.a	1.a	$1$	$6$	$6$	$26.702$	6.6.57500224.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(-4\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1-\beta _{4})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)
3344.2.a.z	$3344$	$2$	3344.a	1.a	$1$	$6$	$6$	$26.702$	6.6.106392688.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(-3\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-1+\beta _{5})q^{5}+\beta _{5}q^{7}+\cdots\)
3344.2.a.bb	$3344$	$2$	3344.a	1.a	$1$	$9$	$9$	$26.702$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(6\)	\(-3\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1+\beta _{7})q^{5}-\beta _{8}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)