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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 (11 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1909.1.h.a	$1909$	$1$	1909.h	1909.h	$22$	$10$	$1$	$0.953$	\(\Q(\zeta_{22})\)	$D_{11}$	\(\Q(\sqrt{-83}) \)	None		✓			1909.1.h.a	$4$	$0$	\(0\)	\(9\)	\(0\)	\(-2\)		$1$		\(q+(1+\zeta_{22}^{2})q^{3}-\zeta_{22}^{3}q^{4}+(-\zeta_{22}^{3}+\cdots)q^{7}+\cdots\)
1909.1.h.b	$1909$	$1$	1909.h	1909.h	$22$	$20$	$2$	$0.953$	\(\Q(\zeta_{33})\)	$D_{33}$	\(\Q(\sqrt{-83}) \)	None		✓	✓		1909.1.h.b	$4$	$0$	\(0\)	\(-9\)	\(0\)	\(2\)		$11$		\(q+(-\zeta_{66}-\zeta_{66}^{11})q^{3}+\zeta_{66}^{18}q^{4}+\cdots\)
1909.2.a.a	$1909$	$2$	1909.a	1.a	$1$	$1$	$1$	$15.243$	\(\Q\)	$_{}$	None	None	✓	✓			1909.2.a.a	$1$	$2$	\(0\)	\(0\)	\(-3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-3q^{5}-2q^{7}-3q^{9}-4q^{11}+\cdots\)
1909.2.a.b	$1909$	$2$	1909.a	1.a	$1$	$33$	$33$	$15.243$		$_{}$	None	None	✓	✓	✓	✓	1909.2.a.b	$1$	$1$	\(-5\)	\(-9\)	\(-14\)	\(-14\)	$+$		$\mathrm{SU}(2)$
1909.2.a.c	$1909$	$2$	1909.a	1.a	$1$	$35$	$35$	$15.243$		$_{}$	None	None	✓	✓	✓	✓	1909.2.a.c	$1$	$1$	\(-8\)	\(-9\)	\(-10\)	\(0\)	$+$		$\mathrm{SU}(2)$
1909.2.a.d	$1909$	$2$	1909.a	1.a	$1$	$38$	$38$	$15.243$		$_{}$	None	None	✓	✓	✓		1909.2.a.d	$1$	$0$	\(7\)	\(7\)	\(19\)	\(10\)	$-$		$\mathrm{SU}(2)$
1909.2.a.e	$1909$	$2$	1909.a	1.a	$1$	$42$	$42$	$15.243$		$_{}$	None	None	✓	✓	✓	✓	1909.2.a.e	$1$	$0$	\(7\)	\(11\)	\(6\)	\(2\)	$-$		$\mathrm{SU}(2)$
1909.4.a.a	$1909$	$4$	1909.a	1.a	$1$	$108$	$108$	$112.635$		$_{}$	None	None	✓	✓	✓	✓	1909.4.a.a	$1$	$1$	\(-16\)	\(-36\)	\(-44\)	\(-45\)	$-$		$\mathrm{SU}(2)$
1909.4.a.b	$1909$	$4$	1909.a	1.a	$1$	$111$	$111$	$112.635$		$_{}$	None	None	✓	✓	✓	✓	1909.4.a.b	$1$	$1$	\(-16\)	\(-24\)	\(-94\)	\(-87\)	$-$		$\mathrm{SU}(2)$
1909.4.a.c	$1909$	$4$	1909.a	1.a	$1$	$115$	$115$	$112.635$		$_{}$	None	None	✓	✓	✓	✓	1909.4.a.c	$1$	$0$	\(14\)	\(24\)	\(36\)	\(-31\)	$+$		$\mathrm{SU}(2)$
1909.4.a.d	$1909$	$4$	1909.a	1.a	$1$	$118$	$118$	$112.635$		$_{}$	None	None	✓	✓	✓	✓	1909.4.a.d	$1$	$0$	\(14\)	\(36\)	\(86\)	\(123\)	$+$		$\mathrm{SU}(2)$

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