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	23
5175.2.a.bi	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1+\beta )q^{7}-2\beta q^{8}+(2+\beta )q^{11}+\cdots\)
5175.2.a.bo	$5175$	$2$	5175.a	1.a	$1$	$2$	$2$	$41.323$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(2+\beta )q^{7}+\cdots\)
5175.2.a.by	$5175$	$2$	5175.a	1.a	$1$	$6$	$6$	$41.323$	6.6.98838128.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(2+\beta _{4})q^{4}+(-1-\beta _{3})q^{7}+\cdots\)
5175.2.a.cf	$5175$	$2$	5175.a	1.a	$1$	$7$	$7$	$41.323$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{7}+(\beta _{2}+\cdots)q^{8}+\cdots\)