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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 (4 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.a	$2156$	$2$	2156.a	1.a	$1$	$1$	$1$	$17.216$	\(\Q\)	None	✓				44.2.a.a	$1$	$1$	\(0\)	\(-1\)	\(3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}-2q^{9}-q^{11}+4q^{13}+\cdots\)
2156.2.a.c	$2156$	$2$	2156.a	1.a	$1$	$2$	$2$	$17.216$	\(\Q(\sqrt{6}) \)	None	✓				308.2.a.b	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2q^{5}+3q^{9}-q^{11}+(-2+\cdots)q^{13}+\cdots\)
2156.2.a.e	$2156$	$2$	2156.a	1.a	$1$	$2$	$2$	$17.216$	\(\Q(\sqrt{2}) \)	None	✓	✓			2156.2.a.e	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{9}-q^{11}-\beta q^{13}-5\beta q^{17}+\cdots\)
2156.2.a.h	$2156$	$2$	2156.a	1.a	$1$	$3$	$3$	$17.216$	3.3.321.1	None	✓		✓		308.2.i.a	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(1-\beta _{1}-2\beta _{2})q^{9}+\cdots\)

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