Newform search results

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

Results (13 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
2475.4.a.d	$2475$	$4$	2475.a	1.a	$1$	$1$	$1$	$146.030$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(0\)	\(7\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+q^{4}+7q^{7}+21q^{8}-11q^{11}+\cdots\)
2475.4.a.e	$2475$	$4$	2475.a	1.a	$1$	$1$	$1$	$146.030$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(26\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+26q^{7}+15q^{8}-11q^{11}+\cdots\)
2475.4.a.g	$2475$	$4$	2475.a	1.a	$1$	$1$	$1$	$146.030$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-36\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}-6^{2}q^{7}-15q^{8}-11q^{11}+\cdots\)
2475.4.a.h	$2475$	$4$	2475.a	1.a	$1$	$1$	$1$	$146.030$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(9\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}+9q^{7}-15q^{8}-11q^{11}+\cdots\)
2475.4.a.j	$2475$	$4$	2475.a	1.a	$1$	$1$	$1$	$146.030$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(0\)	\(21\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+8q^{4}+21q^{7}-11q^{11}-68q^{13}+\cdots\)
2475.4.a.o	$2475$	$4$	2475.a	1.a	$1$	$2$	$2$	$146.030$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+\beta q^{4}+(-2+2\beta )q^{7}+(8-7\beta )q^{8}+\cdots\)
2475.4.a.s	$2475$	$4$	2475.a	1.a	$1$	$3$	$3$	$146.030$	3.3.23612.1	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+(7+\beta _{1}+\beta _{2})q^{4}+\cdots\)
2475.4.a.t	$2475$	$4$	2475.a	1.a	$1$	$3$	$3$	$146.030$	3.3.47528.1	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-10\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(10+\beta _{2})q^{4}+(-4+\cdots)q^{7}+\cdots\)
2475.4.a.v	$2475$	$4$	2475.a	1.a	$1$	$3$	$3$	$146.030$	3.3.3368.1	None	✓	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(16\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(3+2\beta _{2})q^{4}+(7-4\beta _{1}+\beta _{2})q^{7}+\cdots\)
2475.4.a.z	$2475$	$4$	2475.a	1.a	$1$	$3$	$3$	$146.030$	3.3.1957.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(6+\beta _{1}+2\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots\)
2475.4.a.bc	$2475$	$4$	2475.a	1.a	$1$	$4$	$4$	$146.030$	4.4.1539480.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-9\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(5+\beta _{1}+\beta _{3})q^{4}+(-2+2\beta _{1}+\cdots)q^{7}+\cdots\)
2475.4.a.bf	$2475$	$4$	2475.a	1.a	$1$	$5$	$5$	$146.030$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-38\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(9-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2475.4.a.bk	$2475$	$4$	2475.a	1.a	$1$	$5$	$5$	$146.030$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(-24\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+(-5-\beta _{1}+\cdots)q^{7}+\cdots\)