Newform search results

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

Results (7 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	23
8464.2.a.bl	$8464$	$2$	8464.a	1.a	$1$	$4$	$4$	$67.585$	\(\Q(\zeta_{24})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-8\)	\(4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{3}+(-2-\beta _{3})q^{5}+(1-\beta _{2}+\cdots)q^{7}+\cdots\)
8464.2.a.bm	$8464$	$2$	8464.a	1.a	$1$	$4$	$4$	$67.585$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+\beta _{1}q^{5}+(\beta _{1}+\beta _{2})q^{7}+2q^{9}+\cdots\)
8464.2.a.bn	$8464$	$2$	8464.a	1.a	$1$	$4$	$4$	$67.585$	\(\Q(\zeta_{24})^+\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(8\)	\(-4\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{3}+(2+\beta _{1})q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
8464.2.a.by	$8464$	$2$	8464.a	1.a	$1$	$6$	$6$	$67.585$	6.6.26849792.2	None	✓	$2$	$1$	\(0\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-\beta _{3}+\beta _{4})q^{5}-\beta _{2}q^{7}+\cdots\)
8464.2.a.cf	$8464$	$2$	8464.a	1.a	$1$	$12$	$12$	$67.585$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(-8\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+\beta _{9}q^{5}+(-\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
8464.2.a.cg	$8464$	$2$	8464.a	1.a	$1$	$15$	$15$	$67.585$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-10\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(\beta _{1}+\beta _{5}+\beta _{10})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots\)
8464.2.a.ci	$8464$	$2$	8464.a	1.a	$1$	$15$	$15$	$67.585$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-10\)	\(10\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-1-\beta _{13})q^{5}+(1-\beta _{1}+\cdots)q^{7}+\cdots\)