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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5	83
2075.2.a.e	$2075$	$2$	2075.a	1.a	$1$	$2$	$2$	$16.569$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(1\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(1-\beta )q^{3}+(-1+\beta )q^{4}-q^{6}+\cdots\)
2075.2.a.f	$2075$	$2$	2075.a	1.a	$1$	$6$	$6$	$16.569$	6.6.7783241.1	None	✓	$1$	$1$	\(-2\)	\(-3\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-\beta _{2}+\beta _{4})q^{3}+\beta _{2}q^{4}+\cdots\)
2075.2.a.g	$2075$	$2$	2075.a	1.a	$1$	$6$	$6$	$16.569$	6.6.9059636.1	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{2})q^{2}+\beta _{3}q^{3}+(1-\beta _{5})q^{4}+\cdots\)
2075.2.a.i	$2075$	$2$	2075.a	1.a	$1$	$8$	$8$	$16.569$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-\beta _{5}q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\beta _{5}+\cdots)q^{6}+\cdots\)
2075.2.a.j	$2075$	$2$	2075.a	1.a	$1$	$8$	$8$	$16.569$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\beta _{5}+\cdots)q^{6}+\cdots\)
2075.2.a.n	$2075$	$2$	2075.a	1.a	$1$	$20$	$20$	$16.569$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-6\)	\(0\)	\(-14\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{15}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)