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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (5 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
225.4.a.b	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓				5.4.a.a	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+8q^{4}-6q^{7}-2^{5}q^{11}+38q^{13}+\cdots\)
225.4.a.c	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓				25.4.a.a	$1$	$1$	\(-1\)	\(0\)	\(0\)	\(6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-7q^{4}+6q^{7}+15q^{8}+43q^{11}+\cdots\)
225.4.a.f	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓				15.4.a.a	$1$	$1$	\(1\)	\(0\)	\(0\)	\(24\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-7q^{4}+24q^{7}-15q^{8}-52q^{11}+\cdots\)
225.4.a.g	$225$	$4$	225.a	1.a	$1$	$1$	$1$	$13.275$	\(\Q\)	None	✓				15.4.a.b	$1$	$1$	\(3\)	\(0\)	\(0\)	\(-20\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+q^{4}-20q^{7}-21q^{8}+24q^{11}+\cdots\)
225.4.a.j	$225$	$4$	225.a	1.a	$1$	$2$	$2$	$13.275$	\(\Q(\sqrt{19}) \)	None	✓		✓		75.4.a.d	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-26\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(12-2\beta )q^{4}+(-13+\cdots)q^{7}+\cdots\)

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