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	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11
33.14.a.a	$33$	$14$	33.a	1.a	$1$	$1$	$1$	$35.386$	\(\Q\)	None	✓	$1$	$0$	\(140\)	\(729\)	\(48740\)	\(487486\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+140q^{2}+3^{6}q^{3}+11408q^{4}+48740q^{5}+\cdots\)
33.14.a.c	$33$	$14$	33.a	1.a	$1$	$4$	$4$	$35.386$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(41\)	\(2916\)	\(-38422\)	\(41998\)		$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(10+\beta _{1})q^{2}+3^{6}q^{3}+(5909+43\beta _{1}+\cdots)q^{4}+\cdots\)