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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	3	5	23
1380.4.a.a	$1380$	$4$	1380.a	1.a	$1$	$1$	$1$	$81.423$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-5\)	\(-16\)		$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{5}-2^{4}q^{7}+9q^{9}+30q^{11}+\cdots\)
1380.4.a.b	$1380$	$4$	1380.a	1.a	$1$	$2$	$2$	$81.423$	\(\Q(\sqrt{561}) \)	None	✓	$1$	$1$	\(0\)	\(-6\)	\(10\)	\(-17\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+5q^{5}+(-8-\beta )q^{7}+9q^{9}+\cdots\)
1380.4.a.c	$1380$	$4$	1380.a	1.a	$1$	$3$	$3$	$81.423$	3.3.72332.1	None	✓	$1$	$1$	\(0\)	\(-9\)	\(15\)	\(22\)		$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+5q^{5}+(8-2\beta _{1}-\beta _{2})q^{7}+\cdots\)
1380.4.a.d	$1380$	$4$	1380.a	1.a	$1$	$4$	$4$	$81.423$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-12\)	\(-20\)	\(35\)		$-$	$+$	$+$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{5}+(9-\beta _{3})q^{7}+9q^{9}+\cdots\)
1380.4.a.g	$1380$	$4$	1380.a	1.a	$1$	$5$	$5$	$81.423$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(15\)	\(-25\)	\(-5\)		$-$	$-$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}-5q^{5}+(-1-\beta _{1})q^{7}+9q^{9}+\cdots\)
1380.4.a.h	$1380$	$4$	1380.a	1.a	$1$	$5$	$5$	$81.423$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(15\)	\(25\)	\(-23\)		$-$	$-$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{5}+(-5-\beta _{1}-\beta _{3}-\beta _{4})q^{7}+\cdots\)