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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 (3 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
26.4.a.a	$26$	$4$	26.a	1.a	$1$	$1$	$1$	$1.534$	\(\Q\)	None	✓	✓	✓	✓	26.4.a.a	$1$	$0$	\(-2\)	\(3\)	\(11\)	\(19\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+11q^{5}-6q^{6}+\cdots\)
26.4.a.b	$26$	$4$	26.a	1.a	$1$	$1$	$1$	$1.534$	\(\Q\)	None	✓	✓			26.4.a.b	$1$	$0$	\(2\)	\(-1\)	\(17\)	\(-35\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-q^{3}+4q^{4}+17q^{5}-2q^{6}+\cdots\)
26.4.a.c	$26$	$4$	26.a	1.a	$1$	$1$	$1$	$1.534$	\(\Q\)	None	✓	✓			26.4.a.c	$1$	$0$	\(2\)	\(4\)	\(-18\)	\(20\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+4q^{3}+4q^{4}-18q^{5}+8q^{6}+\cdots\)

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