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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
75.22.a.b	$75$	$22$	75.a	1.a	$1$	$1$	$1$	$209.608$	\(\Q\)	None	✓	$1$	$1$	\(-544\)	\(-59049\)	\(0\)	\(-1277698380\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-544q^{2}-3^{10}q^{3}-1801216q^{4}+\cdots\)
75.22.a.d	$75$	$22$	75.a	1.a	$1$	$2$	$2$	$209.608$	\(\Q(\sqrt{649}) \)	None	✓	$1$	$1$	\(-666\)	\(-118098\)	\(0\)	\(-679896112\)		$+$	$+$	$+$	$2\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-333-\beta )q^{2}-3^{10}q^{3}+(589618+\cdots)q^{4}+\cdots\)
75.22.a.e	$75$	$22$	75.a	1.a	$1$	$3$	$3$	$209.608$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(-803\)	\(-177147\)	\(0\)	\(1577598316\)		$+$	$+$	$+$	$2^{2}\cdot 3\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+(-268+\beta _{1})q^{2}-3^{10}q^{3}+(2238318+\cdots)q^{4}+\cdots\)
75.22.a.g	$75$	$22$	75.a	1.a	$1$	$3$	$3$	$209.608$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(2300\)	\(-177147\)	\(0\)	\(-465666872\)		$+$	$+$	$+$	$2^{5}\cdot 3^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(767+\beta _{1})q^{2}-3^{10}q^{3}+(421908+\cdots)q^{4}+\cdots\)
75.22.a.i	$75$	$22$	75.a	1.a	$1$	$6$	$6$	$209.608$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-92\)	\(354294\)	\(0\)	\(-1327143454\)		$-$	$-$	$+$	$2^{18}\cdot 3^{6}\cdot 5^{7}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-15+\beta _{1})q^{2}+3^{10}q^{3}+(731822+\cdots)q^{4}+\cdots\)
75.22.a.j	$75$	$22$	75.a	1.a	$1$	$6$	$6$	$209.608$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(92\)	\(-354294\)	\(0\)	\(1327143454\)		$+$	$+$	$+$	$2^{18}\cdot 3^{6}\cdot 5^{7}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(15-\beta _{1})q^{2}-3^{10}q^{3}+(731822+\cdots)q^{4}+\cdots\)
75.22.a.m	$75$	$22$	75.a	1.a	$1$	$10$	$10$	$209.608$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-645\)	\(590490\)	\(0\)	\(-115357290\)		$-$	$-$	$+$	$2^{24}\cdot 3^{14}\cdot 5^{24}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-65+\beta _{1})q^{2}+3^{10}q^{3}+(1004337+\cdots)q^{4}+\cdots\)