Newform search results

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

Results (18 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
4056.2.a.b	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-3\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
4056.2.a.d	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{17}+\cdots\)
4056.2.a.f	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+4q^{7}+q^{9}+2q^{11}-6q^{17}+\cdots\)
4056.2.a.g	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-4q^{7}+q^{9}-2q^{15}+\cdots\)
4056.2.a.h	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{5}-q^{7}+q^{9}+6q^{11}-2q^{15}+\cdots\)
4056.2.a.m	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+q^{9}-2q^{15}+2q^{17}+\cdots\)
4056.2.a.n	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
4056.2.a.q	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}+q^{9}+3q^{15}-q^{17}+\cdots\)
4056.2.a.r	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(4\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{5}+2q^{7}+q^{9}-2q^{11}+\cdots\)
4056.2.a.s	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(4\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{5}+4q^{7}+q^{9}+2q^{11}+\cdots\)
4056.2.a.u	$4056$	$2$	4056.a	1.a	$1$	$2$	$2$	$32.387$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+(1+\beta )q^{7}+q^{9}+(1+\beta )q^{11}+\cdots\)
4056.2.a.w	$4056$	$2$	4056.a	1.a	$1$	$2$	$2$	$32.387$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(2\)	\(-2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+(-1-\beta )q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4056.2.a.z	$4056$	$2$	4056.a	1.a	$1$	$3$	$3$	$32.387$	3.3.837.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(3\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{2}q^{5}+(1-\beta _{1})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
4056.2.a.be	$4056$	$2$	4056.a	1.a	$1$	$4$	$4$	$32.387$	4.4.25488.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(4\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(1+\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
4056.2.a.bf	$4056$	$2$	4056.a	1.a	$1$	$6$	$6$	$32.387$	6.6.27700337.1	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-1\)	\(-7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{5}q^{5}+(-1-\beta _{1})q^{7}+q^{9}+\cdots\)
4056.2.a.bg	$4056$	$2$	4056.a	1.a	$1$	$6$	$6$	$32.387$	6.6.27700337.1	None	✓	$1$	$0$	\(0\)	\(-6\)	\(1\)	\(7\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{5}q^{5}+(1+\beta _{1})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
4056.2.a.bh	$4056$	$2$	4056.a	1.a	$1$	$6$	$6$	$32.387$	6.6.27700337.1	None	✓	$1$	$0$	\(0\)	\(6\)	\(-1\)	\(5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(\beta _{1}-\beta _{3})q^{5}+(1-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
4056.2.a.bi	$4056$	$2$	4056.a	1.a	$1$	$6$	$6$	$32.387$	6.6.27700337.1	None	✓	$1$	$0$	\(0\)	\(6\)	\(1\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-\beta _{1}+\beta _{3})q^{5}+(-1+\beta _{2}+\cdots)q^{7}+\cdots\)