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

Level	Weight	Analytic conductor	\(Nk^2\)	Dim.
Bad \(p\)	Char.	Primitive character	Character order	Coefficient field
Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank
Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5
225.6.a.b	$225$	$6$	225.a	1.a	$1$	$1$	$1$	$36.086$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-225\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-2^{4}q^{4}-15^{2}q^{7}+192q^{8}+\cdots\)
225.6.a.i	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{89}) \)	None	✓	$1$	$1$	\(-9\)	\(0\)	\(0\)	\(108\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{2}+(6+9\beta )q^{4}+(42+24\beta )q^{7}+\cdots\)
225.6.a.l	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$1$	\(-5\)	\(0\)	\(0\)	\(200\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{2}+(2^{5}+5\beta )q^{4}+(102+\cdots)q^{7}+\cdots\)
225.6.a.n	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{11}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+12q^{4}+9\beta q^{7}-20\beta q^{8}+\cdots\)
225.6.a.t	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{31}) \)	None	✓	$1$	$1$	\(6\)	\(0\)	\(0\)	\(-102\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{2}+(8+6\beta )q^{4}+(-51-24\beta )q^{7}+\cdots\)
225.6.a.u	$225$	$6$	225.a	1.a	$1$	$2$	$2$	$36.086$	\(\Q(\sqrt{89}) \)	None	✓	$1$	$1$	\(9\)	\(0\)	\(0\)	\(-108\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(5-\beta )q^{2}+(15-9\beta )q^{4}+(-66+24\beta )q^{7}+\cdots\)