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

Results (3 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	3
324.8.a.a	$324$	$8$	324.a	1.a	$1$	$3$	$3$	$101.213$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	✓			324.8.a.a	$1$	$1$	\(0\)	\(0\)	\(-57\)	\(114\)		$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(-19+\beta _{1})q^{5}+(38-\beta _{2})q^{7}+(146+\cdots)q^{11}+\cdots\)
324.8.a.b	$324$	$8$	324.a	1.a	$1$	$3$	$3$	$101.213$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	✓			324.8.a.a	$1$	$1$	\(0\)	\(0\)	\(57\)	\(114\)		$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(19-\beta _{1})q^{5}+(38-\beta _{2})q^{7}+(-146+\cdots)q^{11}+\cdots\)
324.8.a.c	$324$	$8$	324.a	1.a	$1$	$7$	$7$	$101.213$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓		✓		36.8.e.a	$1$	$1$	\(0\)	\(0\)	\(-321\)	\(83\)		$-$	$+$	$-$	$2^{10}\cdot 3^{15}$	$\mathrm{SU}(2)$	\(q+(-46-\beta _{1})q^{5}+(12-\beta _{2})q^{7}+(2^{4}+\cdots)q^{11}+\cdots\)