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

Results (13 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	3	19
912.6.a.c	$912$	$6$	912.a	1.a	$1$	$1$	$1$	$146.270$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-9\)	\(-54\)	\(-104\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}-54q^{5}-104q^{7}+3^{4}q^{9}+\cdots\)
912.6.a.e	$912$	$6$	912.a	1.a	$1$	$1$	$1$	$146.270$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-9\)	\(81\)	\(247\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}+3^{4}q^{5}+247q^{7}+3^{4}q^{9}+\cdots\)
912.6.a.g	$912$	$6$	912.a	1.a	$1$	$2$	$2$	$146.270$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(-18\)	\(-87\)	\(251\)		$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-41-5\beta )q^{5}+(11^{2}+9\beta )q^{7}+\cdots\)
912.6.a.i	$912$	$6$	912.a	1.a	$1$	$2$	$2$	$146.270$	\(\Q(\sqrt{201}) \)	None	✓	$1$	$0$	\(0\)	\(18\)	\(-13\)	\(33\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-4-5\beta )q^{5}+(22-11\beta )q^{7}+\cdots\)
912.6.a.j	$912$	$6$	912.a	1.a	$1$	$2$	$2$	$146.270$	\(\Q(\sqrt{2441}) \)	None	✓	$1$	$0$	\(0\)	\(18\)	\(-5\)	\(105\)		$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-3-\beta )q^{5}+(53+\beta )q^{7}+\cdots\)
912.6.a.l	$912$	$6$	912.a	1.a	$1$	$3$	$3$	$146.270$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-27\)	\(135\)	\(-125\)		$-$	$+$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-9q^{3}+(45-\beta _{1})q^{5}+(-42-\beta _{2})q^{7}+\cdots\)
912.6.a.r	$912$	$6$	912.a	1.a	$1$	$4$	$4$	$146.270$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(36\)	\(-8\)	\(142\)		$-$	$-$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-3-\beta _{1}-3\beta _{3})q^{5}+(33+\cdots)q^{7}+\cdots\)
912.6.a.s	$912$	$6$	912.a	1.a	$1$	$4$	$4$	$146.270$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(36\)	\(117\)	\(33\)		$-$	$-$	$-$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+9q^{3}+(29-\beta _{2})q^{5}+(8-\beta _{1})q^{7}+\cdots\)
912.6.a.u	$912$	$6$	912.a	1.a	$1$	$5$	$5$	$146.270$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-45\)	\(-54\)	\(-70\)		$+$	$+$	$-$	$-$	$2^{6}\cdot 5$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-11+\beta _{2})q^{5}+(-14-\beta _{4})q^{7}+\cdots\)
912.6.a.v	$912$	$6$	912.a	1.a	$1$	$5$	$5$	$146.270$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-45\)	\(-6\)	\(-54\)		$-$	$+$	$+$	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-9q^{3}+(-1-\beta _{1})q^{5}+(-11+\beta _{1}+\cdots)q^{7}+\cdots\)
912.6.a.w	$912$	$6$	912.a	1.a	$1$	$5$	$5$	$146.270$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-45\)	\(66\)	\(2\)		$+$	$+$	$-$	$-$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q-9q^{3}+(13+\beta _{1})q^{5}-\beta _{2}q^{7}+3^{4}q^{9}+\cdots\)
912.6.a.y	$912$	$6$	912.a	1.a	$1$	$6$	$6$	$146.270$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(54\)	\(-65\)	\(149\)		$+$	$-$	$+$	$-$	$2^{9}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-11-\beta _{2})q^{5}+(5^{2}+\beta _{4}+\cdots)q^{7}+\cdots\)
912.6.a.ba	$912$	$6$	912.a	1.a	$1$	$7$	$7$	$146.270$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(63\)	\(55\)	\(-119\)		$+$	$-$	$+$	$-$	$2^{12}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(8-\beta _{1})q^{5}+(-17-\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)