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	3
1296.4.a.c	$1296$	$4$	1296.a	1.a	$1$	$1$	$1$	$76.466$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-5\)	\(-36\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-6^{2}q^{7}-2^{6}q^{11}-65q^{13}+\cdots\)
1296.4.a.f	$1296$	$4$	1296.a	1.a	$1$	$1$	$1$	$76.466$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-36\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-6^{2}q^{7}+2^{6}q^{11}-65q^{13}+\cdots\)
1296.4.a.g	$1296$	$4$	1296.a	1.a	$1$	$1$	$1$	$76.466$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(9\)	\(31\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+9q^{5}+31q^{7}-15q^{11}-37q^{13}+\cdots\)
1296.4.a.i	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-15\)	\(-7\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-7-\beta )q^{5}+(-5+3\beta )q^{7}+(29+\cdots)q^{11}+\cdots\)
1296.4.a.j	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-12\)	\(-16\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(-6+\beta )q^{5}+(-8+2\beta )q^{7}+(18+\cdots)q^{11}+\cdots\)
1296.4.a.m	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{201}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(30\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{5}+(15-\beta )q^{7}+(-23+\cdots)q^{11}+\cdots\)
1296.4.a.n	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(6\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{5}+(3+\beta )q^{7}+(5+3\beta )q^{11}+\cdots\)
1296.4.a.o	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(44\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+7\beta q^{5}+22q^{7}+34\beta q^{11}-7^{2}q^{13}+\cdots\)
1296.4.a.p	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(6\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(3+\beta )q^{7}+(-5-3\beta )q^{11}+\cdots\)
1296.4.a.q	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{201}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(8\)	\(30\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{5}+(15-\beta )q^{7}+(23+3\beta )q^{11}+\cdots\)
1296.4.a.r	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{105}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(9\)	\(-19\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(5+\beta )q^{5}+(-9+\beta )q^{7}+(-11+2\beta )q^{11}+\cdots\)
1296.4.a.s	$1296$	$4$	1296.a	1.a	$1$	$2$	$2$	$76.466$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(12\)	\(-16\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+(6+\beta )q^{5}+(-8-2\beta )q^{7}+(-18+\cdots)q^{11}+\cdots\)
1296.4.a.w	$1296$	$4$	1296.a	1.a	$1$	$3$	$3$	$76.466$	3.3.1509.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(-6\)		$-$	$-$	$+$	$2\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{2})q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
1296.4.a.z	$1296$	$4$	1296.a	1.a	$1$	$4$	$4$	$76.466$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(16\)		$-$	$-$	$+$	$2^{4}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+(4-\beta _{3})q^{7}+(\beta _{1}-\beta _{2})q^{11}+\cdots\)
1296.4.a.ba	$1296$	$4$	1296.a	1.a	$1$	$4$	$4$	$76.466$	4.4.72153.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(3\)		$+$	$+$	$+$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{5}+(1+\beta _{3})q^{7}+(4-\beta _{1}+\cdots)q^{11}+\cdots\)
1296.4.a.bd	$1296$	$4$	1296.a	1.a	$1$	$5$	$5$	$76.466$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-3\)		$+$	$+$	$+$	$2^{4}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{5}+(-1-\beta _{1})q^{7}+(5-2\beta _{2}+\cdots)q^{11}+\cdots\)