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

Results (6 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	43
688.6.a.a	$688$	$6$	688.a	1.a	$1$	$3$	$3$	$110.344$	3.3.159992.1	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-14\)	\(74\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{2})q^{3}+(-5+2\beta _{1}-\beta _{2})q^{5}+\cdots\)
688.6.a.d	$688$	$6$	688.a	1.a	$1$	$6$	$6$	$110.344$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-17\)	\(61\)	\(-210\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{3}+(10-\beta _{1}+\beta _{4}-\beta _{5})q^{5}+\cdots\)
688.6.a.e	$688$	$6$	688.a	1.a	$1$	$8$	$8$	$110.344$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(26\)	\(-212\)	\(136\)		$-$	$-$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+(3+\beta _{4})q^{3}+(-3^{3}+\beta _{4}-\beta _{6}+\beta _{7})q^{5}+\cdots\)
688.6.a.g	$688$	$6$	688.a	1.a	$1$	$9$	$9$	$110.344$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-28\)	\(-40\)	\(-136\)		$-$	$-$	$+$	$2^{8}$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{1})q^{3}+(-4+\beta _{4})q^{5}+(-15+\cdots)q^{7}+\cdots\)
688.6.a.i	$688$	$6$	688.a	1.a	$1$	$11$	$11$	$110.344$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(24\)	\(100\)		$+$	$+$	$+$	$2^{13}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(2+\beta _{2})q^{5}+(9+\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
688.6.a.k	$688$	$6$	688.a	1.a	$1$	$14$	$14$	$110.344$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-27\)	\(25\)	\(-160\)		$+$	$+$	$+$	$2^{19}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{3}+(2+\beta _{4})q^{5}+(-11+\cdots)q^{7}+\cdots\)