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

Results (8 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	23	29
2001.2.a.a	$2001$	$2$	2001.a	1.a	$1$	$1$	$1$	$15.978$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(3\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+3q^{5}+q^{6}+3q^{8}+\cdots\)
2001.2.a.b	$2001$	$2$	2001.a	1.a	$1$	$1$	$1$	$15.978$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(4\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}+4q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
2001.2.a.d	$2001$	$2$	2001.a	1.a	$1$	$2$	$2$	$15.978$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(-4\)	\(0\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}-2q^{5}+q^{6}+3q^{8}+\cdots\)
2001.2.a.f	$2001$	$2$	2001.a	1.a	$1$	$2$	$2$	$15.978$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(-3\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
2001.2.a.k	$2001$	$2$	2001.a	1.a	$1$	$10$	$10$	$15.978$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(3\)	\(-10\)	\(6\)	\(3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}-q^{3}+(2+\beta _{6})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)
2001.2.a.l	$2001$	$2$	2001.a	1.a	$1$	$11$	$11$	$15.978$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(-11\)	\(2\)	\(3\)		$+$	$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
2001.2.a.n	$2001$	$2$	2001.a	1.a	$1$	$16$	$16$	$15.978$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(16\)	\(3\)	\(13\)		$-$	$+$	$+$	$-$	$2^{5}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{8}q^{5}+\cdots\)
2001.2.a.o	$2001$	$2$	2001.a	1.a	$1$	$20$	$20$	$15.978$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(20\)	\(-1\)	\(9\)		$-$	$-$	$-$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{6}q^{5}+\cdots\)