Newform search results

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

Results (5 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	167
2672.2.a.d	$2672$	$2$	2672.a	1.a	$1$	$2$	$2$	$21.336$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+(1+\beta )q^{5}+3q^{7}+5q^{9}+\cdots\)
2672.2.a.g	$2672$	$2$	2672.a	1.a	$1$	$2$	$2$	$21.336$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(-4\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(-3+2\beta )q^{5}+3q^{7}+\cdots\)
2672.2.a.i	$2672$	$2$	2672.a	1.a	$1$	$3$	$3$	$21.336$	3.3.469.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(\beta _{1}+\beta _{2})q^{7}+\cdots\)
2672.2.a.k	$2672$	$2$	2672.a	1.a	$1$	$7$	$7$	$21.336$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(-2\)	\(12\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{3})q^{3}+(\beta _{1}-\beta _{2}+\beta _{3})q^{5}+(2+\cdots)q^{7}+\cdots\)
2672.2.a.o	$2672$	$2$	2672.a	1.a	$1$	$12$	$12$	$21.336$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(4\)	\(-11\)		$-$	$+$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}-\beta _{8}q^{5}+(-1+\beta _{2})q^{7}+(3+\cdots)q^{9}+\cdots\)