Newform search results

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

Results (22 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	13
1872.4.a.c	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-11\)	\(-19\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-11q^{5}-19q^{7}-38q^{11}-13q^{13}+\cdots\)
1872.4.a.f	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-4q^{7}+2q^{11}-13q^{13}+6q^{17}+\cdots\)
1872.4.a.l	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(7\)	\(21\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+7q^{5}+21q^{7}+6q^{11}+13q^{13}+\cdots\)
1872.4.a.n	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(13\)	\(11\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+13q^{5}+11q^{7}-2q^{11}-13q^{13}+\cdots\)
1872.4.a.o	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(16\)	\(-28\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}-28q^{7}+34q^{11}-13q^{13}+\cdots\)
1872.4.a.p	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(16\)	\(8\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}+8q^{7}-38q^{11}-13q^{13}+\cdots\)
1872.4.a.r	$1872$	$4$	1872.a	1.a	$1$	$1$	$1$	$110.452$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(20\)	\(32\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+20q^{5}+2^{5}q^{7}+50q^{11}-13q^{13}+\cdots\)
1872.4.a.s	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{10}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-24\)	\(-8\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-12+\beta )q^{5}+(-4-3\beta )q^{7}+(18+\cdots)q^{11}+\cdots\)
1872.4.a.t	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{14}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-24\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-12+\beta )q^{5}+\beta q^{7}+(-22-6\beta )q^{11}+\cdots\)
1872.4.a.w	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(-12\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-4+\beta )q^{5}+(-6+\beta )q^{7}+(22+5\beta )q^{11}+\cdots\)
1872.4.a.x	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{113}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-6\)	\(10\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta )q^{5}+(5+\beta )q^{7}+(-8-4\beta )q^{11}+\cdots\)
1872.4.a.y	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-4-3\beta )q^{7}+(-30-2\beta )q^{11}+\cdots\)
1872.4.a.ba	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(44\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2\beta q^{5}+22q^{7}-\beta q^{11}+13q^{13}+\cdots\)
1872.4.a.bb	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(9\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+(-1+11\beta )q^{7}+(46-12\beta )q^{11}+\cdots\)
1872.4.a.bg	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(8\)	\(-12\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{5}+(-6-\beta )q^{7}+(-22+5\beta )q^{11}+\cdots\)
1872.4.a.bi	$1872$	$4$	1872.a	1.a	$1$	$2$	$2$	$110.452$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(18\)	\(10\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(9-\beta )q^{5}+(5+5\beta )q^{7}+(2+14\beta )q^{11}+\cdots\)
1872.4.a.bj	$1872$	$4$	1872.a	1.a	$1$	$3$	$3$	$110.452$	3.3.36248.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-16\)	\(22\)		$+$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-5-\beta _{2})q^{5}+(8-\beta _{1}-\beta _{2})q^{7}+\cdots\)
1872.4.a.bl	$1872$	$4$	1872.a	1.a	$1$	$3$	$3$	$110.452$	3.3.13916.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-6\)		$+$	$-$	$-$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{5}+(-2-\beta _{1}-\beta _{2})q^{7}+\cdots\)
1872.4.a.bm	$1872$	$4$	1872.a	1.a	$1$	$3$	$3$	$110.452$	3.3.18257.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(8\)	\(-36\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(3+2\beta _{1}+\beta _{2})q^{5}+(-12-\beta _{1})q^{7}+\cdots\)
1872.4.a.bp	$1872$	$4$	1872.a	1.a	$1$	$4$	$4$	$110.452$	4.4.5126992.1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+\beta _{3}q^{7}+(-\beta _{1}+\beta _{2})q^{11}+\cdots\)
1872.4.a.br	$1872$	$4$	1872.a	1.a	$1$	$5$	$5$	$110.452$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(18\)		$+$	$+$	$+$	$+$	$2^{8}$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{5}+(4+\beta _{1})q^{7}+(-5-\beta _{1}-2\beta _{2}+\cdots)q^{11}+\cdots\)
1872.4.a.bs	$1872$	$4$	1872.a	1.a	$1$	$5$	$5$	$110.452$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(18\)		$+$	$+$	$+$	$+$	$2^{8}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+(4+\beta _{1})q^{7}+(5+\beta _{1}+2\beta _{2}+\cdots)q^{11}+\cdots\)