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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.a	$1881$	$2$	1881.a	1.a	$1$	$1$	$1$	$15.020$	\(\Q\)	None	✓				627.2.a.b	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-4q^{5}+2q^{7}+q^{11}+q^{13}+\cdots\)
1881.2.a.d	$1881$	$2$	1881.a	1.a	$1$	$2$	$2$	$15.020$	\(\Q(\sqrt{2}) \)	None	✓				209.2.a.b	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{5}+(-2+\beta )q^{7}-2\beta q^{8}+\cdots\)
1881.2.a.e	$1881$	$2$	1881.a	1.a	$1$	$3$	$3$	$15.020$	\(\Q(\zeta_{14})^+\)	None	✓				627.2.a.f	$1$	$1$	\(-2\)	\(0\)	\(3\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots\)
1881.2.a.j	$1881$	$2$	1881.a	1.a	$1$	$4$	$4$	$15.020$	4.4.23377.1	None	✓		✓		627.2.a.h	$1$	$1$	\(-1\)	\(0\)	\(-3\)	\(-5\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots\)

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