Newform search results

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

Results (13 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	7	191
8022.2.a.a	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(-1\)	\(1\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
8022.2.a.d	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(-3\)	\(1\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.g	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(-2\)	\(1\)		$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
8022.2.a.i	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(3\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.k	$8022$	$2$	8022.a	1.a	$1$	$2$	$2$	$64.056$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(3\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
8022.2.a.n	$8022$	$2$	8022.a	1.a	$1$	$8$	$8$	$64.056$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(-8\)	\(9\)	\(8\)		$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(1+\beta _{4})q^{5}+q^{6}+\cdots\)
8022.2.a.r	$8022$	$2$	8022.a	1.a	$1$	$10$	$10$	$64.056$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(10\)	\(-10\)	\(8\)	\(10\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}-q^{6}+\cdots\)
8022.2.a.s	$8022$	$2$	8022.a	1.a	$1$	$11$	$11$	$64.056$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-11\)	\(-11\)	\(6\)	\(-11\)		$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)
8022.2.a.u	$8022$	$2$	8022.a	1.a	$1$	$11$	$11$	$64.056$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(11\)	\(-11\)	\(-8\)	\(-11\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1+\beta _{4})q^{5}-q^{6}+\cdots\)
8022.2.a.w	$8022$	$2$	8022.a	1.a	$1$	$13$	$13$	$64.056$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(-13\)	\(13\)	\(-2\)	\(-13\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-q^{7}+\cdots\)
8022.2.a.y	$8022$	$2$	8022.a	1.a	$1$	$14$	$14$	$64.056$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(14\)	\(14\)	\(-4\)	\(-14\)		$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.z	$8022$	$2$	8022.a	1.a	$1$	$15$	$15$	$64.056$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-15\)	\(15\)	\(0\)	\(15\)		$+$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.ba	$8022$	$2$	8022.a	1.a	$1$	$16$	$16$	$64.056$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(16\)	\(11\)	\(16\)		$-$	$-$	$-$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(1-\beta _{1})q^{5}+q^{6}+\cdots\)