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

Results (11 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		17	19
6137.2.a.b	$6137$	$2$	6137.a	1.a	$1$	$1$	$1$	$49.004$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(4\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-2q^{5}+4q^{7}-3q^{8}-3q^{9}+\cdots\)
6137.2.a.d	$6137$	$2$	6137.a	1.a	$1$	$4$	$4$	$49.004$	4.4.1957.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-7\)	\(-11\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-\beta _{1}-\beta _{2}-\beta _{3})q^{2}+(\beta _{1}+\beta _{3})q^{3}+\cdots\)
6137.2.a.g	$6137$	$2$	6137.a	1.a	$1$	$7$	$7$	$49.004$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(7\)	\(1\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{6})q^{5}+\cdots\)
6137.2.a.h	$6137$	$2$	6137.a	1.a	$1$	$10$	$10$	$49.004$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(2\)	\(-10\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
6137.2.a.i	$6137$	$2$	6137.a	1.a	$1$	$14$	$14$	$49.004$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(-6\)	\(-1\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{7}q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
6137.2.a.j	$6137$	$2$	6137.a	1.a	$1$	$14$	$14$	$49.004$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(1\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
6137.2.a.n	$6137$	$2$	6137.a	1.a	$1$	$20$	$20$	$49.004$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-7\)	\(-21\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{14}q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6137.2.a.o	$6137$	$2$	6137.a	1.a	$1$	$20$	$20$	$49.004$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-7\)	\(-21\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{14}q^{3}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots\)
6137.2.a.r	$6137$	$2$	6137.a	1.a	$1$	$39$	$39$	$49.004$		None	✓	$1$	$1$	\(-6\)	\(-15\)	\(0\)	\(0\)		$-$	$-$	$+$		$\mathrm{SU}(2)$
6137.2.a.s	$6137$	$2$	6137.a	1.a	$1$	$39$	$39$	$49.004$		None	✓	$1$	$1$	\(-6\)	\(-9\)	\(0\)	\(0\)		$+$	$+$	$+$		$\mathrm{SU}(2)$
6137.2.a.v	$6137$	$2$	6137.a	1.a	$1$	$40$	$40$	$49.004$		None	✓	$2$	$1$	\(0\)	\(0\)	\(-2\)	\(-30\)		$+$	$+$	$+$		$\mathrm{SU}(2)$