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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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2156.2.a.f	$2156$	$2$	2156.a	1.a	$1$	$2$	$2$	$17.216$	\(\Q(\sqrt{2}) \)	None	✓	✓			2156.2.a.f	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+\beta q^{5}+5q^{9}-q^{11}-\beta q^{13}+\cdots\)
2156.2.a.i	$2156$	$2$	2156.a	1.a	$1$	$3$	$3$	$17.216$	3.3.321.1	None	✓				308.2.i.a	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(-\beta _{1}+\beta _{2})q^{5}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
2156.2.a.l	$2156$	$2$	2156.a	1.a	$1$	$4$	$4$	$17.216$	\(\Q(\zeta_{24})^+\)	None	✓	✓	✓		2156.2.a.l	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(2\beta _{1}+\beta _{3})q^{5}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)

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