Newform search results

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

Results (15 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	7	41
4592.2.a.b	$4592$	$2$	4592.a	1.a	$1$	$1$	$1$	$36.667$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-2q^{5}+q^{7}+q^{9}+6q^{11}+\cdots\)
4592.2.a.d	$4592$	$2$	4592.a	1.a	$1$	$1$	$1$	$36.667$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}-q^{7}-2q^{9}+2q^{13}+\cdots\)
4592.2.a.i	$4592$	$2$	4592.a	1.a	$1$	$1$	$1$	$36.667$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}-q^{7}-2q^{9}-2q^{11}+4q^{13}+\cdots\)
4592.2.a.j	$4592$	$2$	4592.a	1.a	$1$	$1$	$1$	$36.667$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+q^{7}-2q^{9}+2q^{13}+q^{15}+\cdots\)
4592.2.a.m	$4592$	$2$	4592.a	1.a	$1$	$2$	$2$	$36.667$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1+\beta )q^{11}+\cdots\)
4592.2.a.n	$4592$	$2$	4592.a	1.a	$1$	$2$	$2$	$36.667$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{5}+q^{7}+(-2+\beta )q^{9}+\cdots\)
4592.2.a.p	$4592$	$2$	4592.a	1.a	$1$	$2$	$2$	$36.667$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-1\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-1+\beta )q^{5}-q^{7}+(-1+\cdots)q^{9}+\cdots\)
4592.2.a.s	$4592$	$2$	4592.a	1.a	$1$	$3$	$3$	$36.667$	3.3.568.1	None	✓	$1$	$1$	\(0\)	\(-1\)	\(1\)	\(3\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+\beta _{1}q^{5}+q^{7}+(3-2\beta _{1}-\beta _{2})q^{9}+\cdots\)
4592.2.a.u	$4592$	$2$	4592.a	1.a	$1$	$3$	$3$	$36.667$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(2\)	\(-4\)	\(-3\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{3}+(-1-2\beta _{1}+\beta _{2})q^{5}+\cdots\)
4592.2.a.z	$4592$	$2$	4592.a	1.a	$1$	$4$	$4$	$36.667$	4.4.27329.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{7}+(\beta _{1}+\beta _{2})q^{9}+(2-2\beta _{1}+\cdots)q^{11}+\cdots\)
4592.2.a.bc	$4592$	$2$	4592.a	1.a	$1$	$5$	$5$	$36.667$	5.5.287349.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-3\)	\(5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}+q^{7}+\cdots\)
4592.2.a.bd	$4592$	$2$	4592.a	1.a	$1$	$5$	$5$	$36.667$	5.5.1935333.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(1+\beta _{4})q^{5}-q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
4592.2.a.bf	$4592$	$2$	4592.a	1.a	$1$	$6$	$6$	$36.667$	6.6.23279501.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-6\)	\(6\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-1-\beta _{2})q^{5}+q^{7}+\cdots\)
4592.2.a.bi	$4592$	$2$	4592.a	1.a	$1$	$8$	$8$	$36.667$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(6\)	\(-8\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{3}+(1+\beta _{6})q^{5}-q^{7}+(1-\beta _{3}+\cdots)q^{9}+\cdots\)
4592.2.a.bk	$4592$	$2$	4592.a	1.a	$1$	$9$	$9$	$36.667$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-2\)	\(9\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{4}q^{5}+q^{7}+(2+\beta _{2}-\beta _{3}+\cdots)q^{9}+\cdots\)