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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	11	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1881.2.a.g	$1881$	$2$	1881.a	1.a	$1$	$3$	$3$	$15.020$	\(\Q(\zeta_{14})^+\)	None	✓				627.2.a.d	$1$	$0$	\(2\)	\(0\)	\(7\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots\)
1881.2.a.l	$1881$	$2$	1881.a	1.a	$1$	$5$	$5$	$15.020$	5.5.2179633.1	None	✓				627.2.a.i	$1$	$0$	\(-1\)	\(0\)	\(-3\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
1881.2.a.p	$1881$	$2$	1881.a	1.a	$1$	$7$	$7$	$15.020$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓		✓		209.2.a.d	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(10\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2}+\beta _{3})q^{4}+\beta _{4}q^{5}+\cdots\)

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