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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
2.84.a.a	$2$	$84$	2.a	1.a	$1$	$3$	$3$	$87.254$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-65\!\cdots\!56\)	\(-10\!\cdots\!76\)	\(-30\!\cdots\!50\)	\(-56\!\cdots\!88\)		$+$	$+$	$2^{24}\cdot 3^{7}\cdot 5^{3}\cdot 7\cdot 11\cdot 17$	$\mathrm{SU}(2)$	\(q-2^{41}q^{2}+(-33900915428623558692+\cdots)q^{3}+\cdots\)
2.84.a.b	$2$	$84$	2.a	1.a	$1$	$3$	$3$	$87.254$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(65\!\cdots\!56\)	\(-16\!\cdots\!24\)	\(-89\!\cdots\!70\)	\(72\!\cdots\!88\)		$-$	$-$	$2^{24}\cdot 3^{11}\cdot 5^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+2^{41}q^{2}+(-5621858992801999908+\cdots)q^{3}+\cdots\)