Newform search results

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

Results (24 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	11	73
8030.2.a.a	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(1\)	\(-3\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots\)
8030.2.a.b	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}-3q^{9}+\cdots\)
8030.2.a.c	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-3q^{9}+\cdots\)
8030.2.a.g	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(-1\)	\(1\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots\)
8030.2.a.j	$8030$	$2$	8030.a	1.a	$1$	$1$	$1$	$64.120$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(1\)	\(-1\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots\)
8030.2.a.k	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(-2\)	\(-2\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8030.2.a.l	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-2\)	\(-3\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8030.2.a.m	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(2\)	\(-2\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8030.2.a.n	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(2\)	\(-3\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8030.2.a.o	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(-2\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}-q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots\)
8030.2.a.q	$8030$	$2$	8030.a	1.a	$1$	$2$	$2$	$64.120$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(2\)	\(1\)	\(-2\)	\(-5\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
8030.2.a.r	$8030$	$2$	8030.a	1.a	$1$	$3$	$3$	$64.120$	3.3.316.1	None	✓	$1$	$1$	\(-3\)	\(-1\)	\(-3\)	\(-1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
8030.2.a.s	$8030$	$2$	8030.a	1.a	$1$	$3$	$3$	$64.120$	3.3.229.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-3\)	\(1\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
8030.2.a.t	$8030$	$2$	8030.a	1.a	$1$	$3$	$3$	$64.120$	3.3.229.1	None	✓	$1$	$1$	\(3\)	\(-2\)	\(3\)	\(-4\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8030.2.a.u	$8030$	$2$	8030.a	1.a	$1$	$4$	$4$	$64.120$	4.4.3981.1	None	✓	$1$	$1$	\(4\)	\(-1\)	\(4\)	\(-12\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{3}q^{3}+q^{4}+q^{5}+\beta _{3}q^{6}+\cdots\)
8030.2.a.v	$8030$	$2$	8030.a	1.a	$1$	$5$	$5$	$64.120$	5.5.216637.1	None	✓	$1$	$1$	\(5\)	\(-5\)	\(5\)	\(-8\)		$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8030.2.a.w	$8030$	$2$	8030.a	1.a	$1$	$6$	$6$	$64.120$	6.6.47685496.1	None	✓	$1$	$1$	\(-6\)	\(-1\)	\(-6\)	\(6\)		$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
8030.2.a.x	$8030$	$2$	8030.a	1.a	$1$	$6$	$6$	$64.120$	6.6.32730625.1	None	✓	$1$	$1$	\(-6\)	\(2\)	\(-6\)	\(-3\)		$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}-q^{5}+\cdots\)
8030.2.a.y	$8030$	$2$	8030.a	1.a	$1$	$6$	$6$	$64.120$	6.6.80296592.1	None	✓	$1$	$1$	\(6\)	\(-3\)	\(6\)	\(3\)		$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
8030.2.a.z	$8030$	$2$	8030.a	1.a	$1$	$7$	$7$	$64.120$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(-2\)	\(7\)	\(-3\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
8030.2.a.ba	$8030$	$2$	8030.a	1.a	$1$	$7$	$7$	$64.120$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-7\)	\(2\)	\(7\)	\(-7\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{2}q^{3}+q^{4}+q^{5}+\beta _{2}q^{6}+\cdots\)
8030.2.a.bb	$8030$	$2$	8030.a	1.a	$1$	$8$	$8$	$64.120$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(8\)	\(-3\)	\(-8\)	\(-4\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)
8030.2.a.bc	$8030$	$2$	8030.a	1.a	$1$	$11$	$11$	$64.120$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-11\)	\(-5\)	\(11\)	\(-1\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots\)
8030.2.a.bf	$8030$	$2$	8030.a	1.a	$1$	$15$	$15$	$64.120$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(15\)	\(-4\)	\(-15\)	\(-6\)		$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)