Newform search results

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

Results (4 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.r	$2475$	$4$	2475.a	1.a	$1$	$2$	$2$	$146.030$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(0\)	\(16\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(5+2\beta )q^{4}+(8-5\beta )q^{7}+\cdots\)
2475.4.a.x	$2475$	$4$	2475.a	1.a	$1$	$3$	$3$	$146.030$	3.3.1772.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+2\beta _{2})q^{4}+(-2+4\beta _{1}+\cdots)q^{7}+\cdots\)
2475.4.a.bp	$2475$	$4$	2475.a	1.a	$1$	$7$	$7$	$146.030$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(0\)	\(0\)	\(-30\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(5-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2475.4.a.bu	$2475$	$4$	2475.a	1.a	$1$	$10$	$10$	$146.030$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$-$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(3+\beta _{1}+\beta _{2})q^{4}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)