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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	17
272.10.a.b	$272$	$10$	272.a	1.a	$1$	$3$	$3$	$140.090$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-84\)	\(-1304\)	\(-690\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-28+\beta _{1})q^{3}+(-435-3\beta _{1}-\beta _{2})q^{5}+\cdots\)
272.10.a.d	$272$	$10$	272.a	1.a	$1$	$4$	$4$	$140.090$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-226\)	\(-1656\)	\(-2654\)		$-$	$+$	$-$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-57-\beta _{1})q^{3}+(-412+4\beta _{1}-3\beta _{2}+\cdots)q^{5}+\cdots\)
272.10.a.f	$272$	$10$	272.a	1.a	$1$	$5$	$5$	$140.090$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(236\)	\(1480\)	\(13202\)		$-$	$+$	$-$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+(47-\beta _{3})q^{3}+(295-2\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots\)
272.10.a.h	$272$	$10$	272.a	1.a	$1$	$7$	$7$	$140.090$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(74\)	\(1480\)	\(-5132\)		$-$	$+$	$-$	$2^{17}\cdot 3$	$\mathrm{SU}(2)$	\(q+(11-\beta _{1})q^{3}+(212-\beta _{1}-\beta _{4})q^{5}+\cdots\)