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.a	$272$	$10$	272.a	1.a	$1$	$2$	$2$	$140.090$	\(\Q(\sqrt{43}) \)	None	✓	$1$	$1$	\(0\)	\(-64\)	\(-2788\)	\(728\)		$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-2^{5}+\beta )q^{3}+(-1394-30\beta )q^{5}+\cdots\)
272.10.a.c	$272$	$10$	272.a	1.a	$1$	$3$	$3$	$140.090$	3.3.3262740.1	None	✓	$1$	$1$	\(0\)	\(-84\)	\(1314\)	\(-6912\)		$-$	$-$	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-28+\beta _{2})q^{3}+(438+13\beta _{1}-4\beta _{2})q^{5}+\cdots\)
272.10.a.e	$272$	$10$	272.a	1.a	$1$	$5$	$5$	$140.090$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(236\)	\(-1138\)	\(-3712\)		$-$	$-$	$+$	$2^{11}\cdot 3$	$\mathrm{SU}(2)$	\(q+(47-\beta _{1})q^{3}+(-227+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
272.10.a.g	$272$	$10$	272.a	1.a	$1$	$7$	$7$	$140.090$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-88\)	\(1362\)	\(-9388\)		$-$	$-$	$+$	$2^{19}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(-13+\beta _{1})q^{3}+(195-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)