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

Results (7 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	41
1025.2.a.a	$1025$	$2$	1025.a	1.a	$1$	$1$	$1$	$8.185$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-2\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-2q^{3}-q^{4}+2q^{6}-2q^{7}+3q^{8}+\cdots\)
1025.2.a.d	$1025$	$2$	1025.a	1.a	$1$	$2$	$2$	$8.185$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(0\)	\(-3\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-\beta q^{3}+(1+\beta )q^{4}+(3+\beta )q^{6}+\cdots\)
1025.2.a.f	$1025$	$2$	1025.a	1.a	$1$	$2$	$2$	$8.185$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(-3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
1025.2.a.i	$1025$	$2$	1025.a	1.a	$1$	$3$	$3$	$8.185$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
1025.2.a.k	$1025$	$2$	1025.a	1.a	$1$	$5$	$5$	$8.185$	5.5.313905.1	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-11\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{2}+(-1+\beta _{1}+\beta _{4})q^{3}+(2\beta _{1}+\cdots)q^{4}+\cdots\)
1025.2.a.m	$1025$	$2$	1025.a	1.a	$1$	$6$	$6$	$8.185$	6.6.3356224.1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{6}+\cdots\)
1025.2.a.n	$1025$	$2$	1025.a	1.a	$1$	$7$	$7$	$8.185$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(0\)	\(-14\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+\beta _{6}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)