Newform search results

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

Results (6 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17
289.10.a.a	$289$	$10$	289.a	1.a	$1$	$5$	$5$	$148.845$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-33\)	\(236\)	\(-1480\)	\(13202\)		$+$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-7+\beta _{1})q^{2}+(48-2\beta _{1}-\beta _{4})q^{3}+\cdots\)
289.10.a.b	$289$	$10$	289.a	1.a	$1$	$7$	$7$	$148.845$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-88\)	\(-1362\)	\(-9388\)		$+$	$+$	$2^{10}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-12-2\beta _{1}+\beta _{4})q^{3}+(341+\cdots)q^{4}+\cdots\)
289.10.a.c	$289$	$10$	289.a	1.a	$1$	$12$	$12$	$148.845$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(-30\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$2^{17}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{2})q^{2}-\beta _{1}q^{3}+(154-4\beta _{2}+\cdots)q^{4}+\cdots\)
289.10.a.d	$289$	$10$	289.a	1.a	$1$	$12$	$12$	$148.845$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(17\)	\(-74\)	\(-454\)	\(5524\)		$+$	$+$	$2^{12}\cdot 3^{5}\cdot 17$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}+(-6+\beta _{3})q^{3}+(249+\cdots)q^{4}+\cdots\)
289.10.a.f	$289$	$10$	289.a	1.a	$1$	$24$	$24$	$148.845$		None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$		$\mathrm{SU}(2)$
289.10.a.g	$289$	$10$	289.a	1.a	$1$	$36$	$36$	$148.845$		None	✓	$1$	$1$	\(0\)	\(-486\)	\(-3750\)	\(-29040\)		$+$	$+$		$\mathrm{SU}(2)$