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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2
2.78.a.a	$2$	$78$	2.a	1.a	$1$	$3$	$3$	$75.096$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-824633720832\)	\(-25\!\cdots\!88\)	\(30\!\cdots\!10\)	\(-23\!\cdots\!16\)		$+$	$+$	$2^{24}\cdot 3^{11}\cdot 5^{2}\cdot 7\cdot 11\cdot 13\cdot 19$	$\mathrm{SU}(2)$	\(q-2^{38}q^{2}+(-842429601461527596+\cdots)q^{3}+\cdots\)
2.78.a.b	$2$	$78$	2.a	1.a	$1$	$3$	$3$	$75.096$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(824633720832\)	\(-11\!\cdots\!92\)	\(64\!\cdots\!50\)	\(-17\!\cdots\!44\)		$-$	$-$	$2^{24}\cdot 3^{8}\cdot 5^{4}\cdot 7\cdot 11$	$\mathrm{SU}(2)$	\(q+2^{38}q^{2}+(-37139225154949164+\cdots)q^{3}+\cdots\)