Newform search results

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

Results (14 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.b	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(3\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots\)
8022.2.a.c	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-3\)	\(1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.e	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
8022.2.a.f	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(2\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.h	$8022$	$2$	8022.a	1.a	$1$	$1$	$1$	$64.056$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-1\)	\(-1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.j	$8022$	$2$	8022.a	1.a	$1$	$2$	$2$	$64.056$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots\)
8022.2.a.l	$8022$	$2$	8022.a	1.a	$1$	$7$	$7$	$64.056$	7.7.118870813.1	None	✓	$1$	$1$	\(7\)	\(7\)	\(-8\)	\(7\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-1+\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots\)
8022.2.a.m	$8022$	$2$	8022.a	1.a	$1$	$7$	$7$	$64.056$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(7\)	\(7\)	\(-3\)	\(-7\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+(-1-\beta _{2}+\beta _{6})q^{5}+\cdots\)
8022.2.a.o	$8022$	$2$	8022.a	1.a	$1$	$8$	$8$	$64.056$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(8\)	\(2\)	\(8\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(\beta _{1}-\beta _{2}-\beta _{3})q^{5}+\cdots\)
8022.2.a.p	$8022$	$2$	8022.a	1.a	$1$	$9$	$9$	$64.056$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-9\)	\(-4\)	\(9\)		$-$	$+$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-\beta _{6}q^{5}-q^{6}+q^{7}+\cdots\)
8022.2.a.q	$8022$	$2$	8022.a	1.a	$1$	$9$	$9$	$64.056$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-9\)	\(6\)	\(-9\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(1+\beta _{2})q^{5}-q^{6}+\cdots\)
8022.2.a.t	$8022$	$2$	8022.a	1.a	$1$	$11$	$11$	$64.056$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-11\)	\(11\)	\(1\)	\(-11\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-q^{7}+\cdots\)
8022.2.a.v	$8022$	$2$	8022.a	1.a	$1$	$13$	$13$	$64.056$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-13\)	\(-13\)	\(-5\)	\(-13\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-q^{7}+\cdots\)
8022.2.a.x	$8022$	$2$	8022.a	1.a	$1$	$14$	$14$	$64.056$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-14\)	\(-14\)	\(-10\)	\(14\)		$+$	$+$	$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(-1+\beta _{1})q^{5}+q^{6}+\cdots\)