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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1881.2.a.b	$1881$	$2$	1881.a	1.a	$1$	$1$	$1$	$15.020$	\(\Q\)	None	✓				627.2.a.a	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+2q^{7}-q^{11}-q^{13}+4q^{16}+\cdots\)
1881.2.a.c	$1881$	$2$	1881.a	1.a	$1$	$1$	$1$	$15.020$	\(\Q\)	None	✓				209.2.a.a	$1$	$1$	\(0\)	\(0\)	\(3\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+3q^{5}-4q^{7}-q^{11}+2q^{13}+\cdots\)
1881.2.a.f	$1881$	$2$	1881.a	1.a	$1$	$3$	$3$	$15.020$	3.3.169.1	None	✓				627.2.a.g	$1$	$1$	\(-2\)	\(0\)	\(-5\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
1881.2.a.h	$1881$	$2$	1881.a	1.a	$1$	$3$	$3$	$15.020$	3.3.169.1	None	✓				627.2.a.c	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(-5\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)

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