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

Results (4 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
1875.4.a.d	$1875$	$4$	1875.a	1.a	$1$	$10$	$10$	$110.629$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(30\)	\(0\)	\(-51\)		$-$	$+$	$-$	$2^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
1875.4.a.e	$1875$	$4$	1875.a	1.a	$1$	$14$	$14$	$110.629$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(42\)	\(0\)	\(-29\)		$-$	$+$	$-$	$2^{2}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+3q^{3}+(4-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1875.4.a.g	$1875$	$4$	1875.a	1.a	$1$	$14$	$14$	$110.629$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(42\)	\(0\)	\(-27\)		$-$	$+$	$-$	$2^{2}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+3\beta _{1}q^{6}+\cdots\)
1875.4.a.i	$1875$	$4$	1875.a	1.a	$1$	$16$	$16$	$110.629$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(48\)	\(0\)	\(-52\)		$-$	$+$	$-$	$2^{4}\cdot 5^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{2})q^{4}-3\beta _{1}q^{6}+\cdots\)