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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
2.70.a.a	$2$	$70$	2.a	1.a	$1$	$3$	$3$	$60.303$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-51539607552\)	\(15\!\cdots\!12\)	\(20\!\cdots\!70\)	\(-20\!\cdots\!96\)		$+$	$+$	$2^{24}\cdot 3^{10}\cdot 5^{2}\cdot 7\cdot 11\cdot 17\cdot 23$	$\mathrm{SU}(2)$	\(q-2^{34}q^{2}+(5160893455497204+\cdots)q^{3}+\cdots\)
2.70.a.b	$2$	$70$	2.a	1.a	$1$	$3$	$3$	$60.303$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(51539607552\)	\(-23\!\cdots\!52\)	\(-58\!\cdots\!50\)	\(92\!\cdots\!16\)		$-$	$-$	$2^{24}\cdot 3^{5}\cdot 5^{4}\cdot 7\cdot 23$	$\mathrm{SU}(2)$	\(q+2^{34}q^{2}+(-7866377652201484+\cdots)q^{3}+\cdots\)