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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	167
4008.2.a.a	$4008$	$2$	4008.a	1.a	$1$	$1$	$1$	$32.004$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}-3q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4008.2.a.b	$4008$	$2$	4008.a	1.a	$1$	$1$	$1$	$32.004$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
4008.2.a.c	$4008$	$2$	4008.a	1.a	$1$	$1$	$1$	$32.004$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}+2q^{17}-8q^{19}-4q^{23}+\cdots\)
4008.2.a.d	$4008$	$2$	4008.a	1.a	$1$	$1$	$1$	$32.004$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+4q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4008.2.a.e	$4008$	$2$	4008.a	1.a	$1$	$3$	$3$	$32.004$	3.3.148.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(6\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(2-\beta _{2})q^{5}+(-2+2\beta _{1})q^{7}+\cdots\)
4008.2.a.f	$4008$	$2$	4008.a	1.a	$1$	$5$	$5$	$32.004$	5.5.284897.1	None	✓	$1$	$1$	\(0\)	\(5\)	\(1\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-\beta _{3}+\beta _{4})q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
4008.2.a.g	$4008$	$2$	4008.a	1.a	$1$	$7$	$7$	$32.004$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-7\)	\(-3\)	\(8\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}-\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
4008.2.a.h	$4008$	$2$	4008.a	1.a	$1$	$8$	$8$	$32.004$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}+(\beta _{2}+\beta _{4}+\cdots)q^{11}+\cdots\)
4008.2.a.i	$4008$	$2$	4008.a	1.a	$1$	$9$	$9$	$32.004$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(9\)	\(-6\)	\(-11\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta _{1})q^{5}+(-2+\beta _{5}+\beta _{7}+\cdots)q^{7}+\cdots\)
4008.2.a.j	$4008$	$2$	4008.a	1.a	$1$	$10$	$10$	$32.004$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-10\)	\(-10\)	\(1\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta _{1})q^{5}+(\beta _{2}+\beta _{4}+\beta _{7}+\cdots)q^{7}+\cdots\)
4008.2.a.k	$4008$	$2$	4008.a	1.a	$1$	$11$	$11$	$32.004$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-11\)	\(10\)	\(-1\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}+(1-\beta _{1})q^{5}+\beta _{3}q^{7}+q^{9}-\beta _{10}q^{11}+\cdots\)
4008.2.a.l	$4008$	$2$	4008.a	1.a	$1$	$12$	$12$	$32.004$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(12\)	\(4\)	\(11\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{5}+(1-\beta _{9})q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
4008.2.a.m	$4008$	$2$	4008.a	1.a	$1$	$13$	$13$	$32.004$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(13\)	\(2\)	\(1\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{5}-\beta _{9}q^{7}+q^{9}+(1+\beta _{5}+\cdots)q^{11}+\cdots\)