Newform search results

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

Results (displaying both matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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
16.48.a.e	$16$	$48$	16.a	1.a	$1$	$6$	$6$	$223.852$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓				8.48.a.b	$1$	$0$	\(0\)	\(59074429624\)	\(49\!\cdots\!80\)	\(-20\!\cdots\!20\)		$+$	$+$	$2^{109}\cdot 3^{10}\cdot 5^{5}\cdot 7^{4}$	$\mathrm{SU}(2)$	\(q+(9845738271+\beta _{1})q^{3}+(8297943011013387+\cdots)q^{5}+\cdots\)
16.48.a.f	$16$	$48$	16.a	1.a	$1$	$6$	$6$	$223.852$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓				8.48.a.a	$1$	$0$	\(0\)	\(126633673656\)	\(-20\!\cdots\!32\)	\(-97\!\cdots\!80\)		$+$	$+$	$2^{113}\cdot 3^{15}\cdot 5^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q+(21105612276-\beta _{1})q^{3}+(-3486029198212722+\cdots)q^{5}+\cdots\)